2009, ISBN 9783639143263, ii, 80

Book

Mathematica Slovaca, ISSN 0139-9918, 12/2018, Volume 68, Issue 6, pp. 1231 - 1312

Š. Schwarz in his paper [SCHWARZ, Š.: , Sborník prác Prírodovedeckej fakulty Slovenskej univerzity v Bratislave, Vol. VI, Bratislava, 1943, 64 pp.] proved the...

11A07 | Primary 01–02 | finite semigroups | 20M25 | principal ideal domain | power semigroups | 11C20 | multiplicative semigroup | Secondary 01A60 | idempotent elements | Wilson theorem | 11A05 | maximal groups contained in a semigroup | matrices over fields | 11B50 | semigroup of circulant Boolean matrices | 15A33 | multiplicative semigroup of ℤ | periodic sequence | 20M10 | 20M20 | Euler-Fermat theorem | finite commutative rings | Power semigroups | Finite semigroups | Multiplicative semigroup of Zm | Finite commutative rings | Matrices over fields | Principal ideal domain | Maximal groups contained in a semigroup | Periodic sequence | Idempotent elements | Multiplicative semigroup | Semigroup of circulant Boolean matrices | DEFINITION | THEOREM | BINARY RELATIONS | POWERS | SEMIGROUP | MATHEMATICS | ELEMENTS | PRODUCTS | INTEGERS | MATRICES | FINITE-GROUPS | multiplicative semigroup of Z(m)

11A07 | Primary 01–02 | finite semigroups | 20M25 | principal ideal domain | power semigroups | 11C20 | multiplicative semigroup | Secondary 01A60 | idempotent elements | Wilson theorem | 11A05 | maximal groups contained in a semigroup | matrices over fields | 11B50 | semigroup of circulant Boolean matrices | 15A33 | multiplicative semigroup of ℤ | periodic sequence | 20M10 | 20M20 | Euler-Fermat theorem | finite commutative rings | Power semigroups | Finite semigroups | Multiplicative semigroup of Zm | Finite commutative rings | Matrices over fields | Principal ideal domain | Maximal groups contained in a semigroup | Periodic sequence | Idempotent elements | Multiplicative semigroup | Semigroup of circulant Boolean matrices | DEFINITION | THEOREM | BINARY RELATIONS | POWERS | SEMIGROUP | MATHEMATICS | ELEMENTS | PRODUCTS | INTEGERS | MATRICES | FINITE-GROUPS | multiplicative semigroup of Z(m)

Journal Article

6.
Geometry and dynamics in Gromov hyperbolic metric spaces

: with an emphasis on non-proper settings

2017, Mathematical surveys and monographs, ISBN 9781470434656, Volume 218, xxxv, 281 pages

Geometry, Hyperbolic | Ergodic theory | Measure and integration | Fuchsian groups and their generalizations | Infinite-dimensional Lie groups and their Lie algebras: general properties | Hyperbolic groups and nonpositively curved groups | Special aspects of infinite or finite groups | Semigroups of transformations, etc | Metric spaces | Conformal densities and Hausdorff dimension | Structure and classification of infinite or finite groups | Relations with number theory and harmonic analysis | Classical measure theory | Group theory and generalizations | Other groups of matrices | Complex dynamical systems | Lie groups | Hyperbolic spaces | Semigroups | Groups acting on trees | Topological groups, Lie groups | Dynamical systems and ergodic theory | Hausdorff and packing measures

Book

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2016, Volume 438, Issue 2, pp. 772 - 789

We introduce the notion of accurate foundation sets and the accurate refinement property for right LCM semigroups. For right LCM semigroups with this property,...

Inverse semigroups | Right LCM semigroups | Simplicity | Semigroup [formula omitted]-algebras | algebras | Semigroup C | MATHEMATICS | SEMIGROUPS | MATHEMATICS, APPLIED | C-ASTERISK-ALGEBRAS | PRODUCT SYSTEMS | Semigroup C-algebras | Algebra

Inverse semigroups | Right LCM semigroups | Simplicity | Semigroup [formula omitted]-algebras | algebras | Semigroup C | MATHEMATICS | SEMIGROUPS | MATHEMATICS, APPLIED | C-ASTERISK-ALGEBRAS | PRODUCT SYSTEMS | Semigroup C-algebras | Algebra

Journal Article

Journal of algebra, ISSN 0021-8693, 2019, Volume 533, pp. 142 - 173

In a group G, elements a and b are conjugate if there exists g∈G such that g−1ag=b. This conjugacy relation, which plays an important role in group theory, can...

McAllister P-semigroups | Clifford semigroups | Symmetric inverse semigroups | Free inverse semigroups | Factorizable inverse monoids | Conjugacy | Inverse semigroups | Bicyclic monoid | Stable inverse semigroups | MATHEMATICS | MONOIDS | Agriculture

McAllister P-semigroups | Clifford semigroups | Symmetric inverse semigroups | Free inverse semigroups | Factorizable inverse monoids | Conjugacy | Inverse semigroups | Bicyclic monoid | Stable inverse semigroups | MATHEMATICS | MONOIDS | Agriculture

Journal Article

Journal of mathematical analysis and applications, ISSN 0022-247X, 2019, Volume 472, Issue 1, pp. 879 - 893

Let {T(t)}t≥0 be a C0-semigroup on a separable Hilbert space H. We show that T(t) is an m-isometry for any t if and only if the mapping t∈R+→‖T(t)x‖2 for each...

m-isometry | m-symmetry | Cogenerator | [formula omitted]-semigroup | Infinitesimal generator | Translation semigroup | semigroup

m-isometry | m-symmetry | Cogenerator | [formula omitted]-semigroup | Infinitesimal generator | Translation semigroup | semigroup

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2019, Volume 371, Issue 1, pp. 105 - 136

The purpose of this paper is to advance our knowledge of two of the most classic and popular topics in transformation semigroups: automorphisms and the size of...

primitive groups | AUTOMORPHISM-GROUPS | GENERATORS | regular semigroups | PERMUTATION-GROUPS | ENDOMORPHISM SEMIGROUPS | CLASSIFICATION | NILPOTENT RANKS | MONOIDS | automorphisms of semigroups | CATEGORIES | Transformation semigroups | rank of semigroups | MATHEMATICS | homogeneous groups | permutation groups | TRANSITIVE COLLINEATION GROUPS | TRANSFORMATIONS

primitive groups | AUTOMORPHISM-GROUPS | GENERATORS | regular semigroups | PERMUTATION-GROUPS | ENDOMORPHISM SEMIGROUPS | CLASSIFICATION | NILPOTENT RANKS | MONOIDS | automorphisms of semigroups | CATEGORIES | Transformation semigroups | rank of semigroups | MATHEMATICS | homogeneous groups | permutation groups | TRANSITIVE COLLINEATION GROUPS | TRANSFORMATIONS

Journal Article

Semigroup Forum, ISSN 0037-1912, 6/2014, Volume 88, Issue 3, pp. 610 - 620

We characterize Cohen-Macaulay and Gorenstein rings obtained from certain types of convex body semigroups. Algorithmic methods to check if a polygonal or...

Gorenstein ring | Gorenstein semigroup | Algebra | Mathematics | Affine non normal semigroup | Cohen-Macaulay ring | Convex body semigroup | Polygonal semigroup | Cohen-Macaulay semigroup | Circle semigroup | MATHEMATICS | AFFINE SEMIGROUPS

Gorenstein ring | Gorenstein semigroup | Algebra | Mathematics | Affine non normal semigroup | Cohen-Macaulay ring | Convex body semigroup | Polygonal semigroup | Cohen-Macaulay semigroup | Circle semigroup | MATHEMATICS | AFFINE SEMIGROUPS

Journal Article

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, ISSN 0219-4988, 11/2018, Volume 17, Issue 11

Given a positive integer kappa, we investigate the class of numerical semigroups verifying the property that every two subsequent non-gaps are spaced by at...

Frobenius variety | MATHEMATICS | acute numerical semigroup | Arf numerical semigroup | MATHEMATICS, APPLIED | Numerical semigroup | sparse numerical semigroup | MINIMUM DISTANCE | kappa-sparse numerical semigroup

Frobenius variety | MATHEMATICS | acute numerical semigroup | Arf numerical semigroup | MATHEMATICS, APPLIED | Numerical semigroup | sparse numerical semigroup | MINIMUM DISTANCE | kappa-sparse numerical semigroup

Journal Article

Semigroup Forum, ISSN 0037-1912, 8/2018, Volume 97, Issue 1, pp. 53 - 63

Let D be an integral domain with quotient field K, $$\Gamma $$ Γ a nonzero torsion-free grading monoid and $$\Gamma ^*=\Gamma {\setminus } \{0\}$$ Γ∗=Γ\{0} ....

Almost Prüfer v -multiplication domain | Algebra | Composite semigroup ring $$D+K[\Gamma ^]$$ D + K [ Γ ∗ ] | Almost Prüfer domain | Semigroup ring $$D[\Gamma ]$$ D [ Γ ] | Mathematics | Root extension | Composite semigroup ring D+ K[Γ | Almost Prüfer v-multiplication domain | Semigroup ring D[Γ] | GCD-DOMAINS | MATHEMATICS | Almost Prufer domain | INTEGRAL-DOMAINS | Composite semigroup ring D plus K[Gamma] | Semigroup ring D[Gamma] | Almost Prufer v-multiplication domain | FORM D

Almost Prüfer v -multiplication domain | Algebra | Composite semigroup ring $$D+K[\Gamma ^]$$ D + K [ Γ ∗ ] | Almost Prüfer domain | Semigroup ring $$D[\Gamma ]$$ D [ Γ ] | Mathematics | Root extension | Composite semigroup ring D+ K[Γ | Almost Prüfer v-multiplication domain | Semigroup ring D[Γ] | GCD-DOMAINS | MATHEMATICS | Almost Prufer domain | INTEGRAL-DOMAINS | Composite semigroup ring D plus K[Gamma] | Semigroup ring D[Gamma] | Almost Prufer v-multiplication domain | FORM D

Journal Article

Advances in Mathematics, ISSN 0001-8708, 04/2017, Volume 311, pp. 378 - 468

This paper extends the fundamental results of frame theory to a non-commutative setting where the role of locales is taken over by étale localic categories....

Locale | Frame | Distributive lattice | Spatial frame | Localic category | Sober space | Boolean algebra | Topological category | Spectral space | Restriction semigroup | Quantale | Ample semigroup | Étale category | Inverse semigroup | Pseudogroup | Ehresmann semigroup | Étale groupoid | Weakly E-ample semigroup | Pseudogroup Distributive lattice | TILINGS | Etale groupoid | Etale category | CATEGORIES | ETALE GROUPOIDS | MATHEMATICS | ALGEBRAS | Algebra

Locale | Frame | Distributive lattice | Spatial frame | Localic category | Sober space | Boolean algebra | Topological category | Spectral space | Restriction semigroup | Quantale | Ample semigroup | Étale category | Inverse semigroup | Pseudogroup | Ehresmann semigroup | Étale groupoid | Weakly E-ample semigroup | Pseudogroup Distributive lattice | TILINGS | Etale groupoid | Etale category | CATEGORIES | ETALE GROUPOIDS | MATHEMATICS | ALGEBRAS | Algebra

Journal Article

Physical review letters, ISSN 1079-7114, 2008, Volume 101, Issue 15, p. 150402

We investigate what a snapshot of a quantum evolution-a quantum channel reflecting open system dynamics-reveals about the underlying continuous time evolution....

PHYSICS, MULTIDISCIPLINARY | SEMIGROUPS | STATES

PHYSICS, MULTIDISCIPLINARY | SEMIGROUPS | STATES

Journal Article

International Journal of Algebra and Computation, ISSN 0218-1967, 11/2016, Volume 26, Issue 7, pp. 1483 - 1495

It is easy to show that a pseudovariety which is reducible with respect to an implicit signature σ for the equation x = y can also be defined by σ -identities....

commutative semigroup | ordered semigroup | relatively free profinite semigroup | completely regular semigroup | group | Pseudovariety | MATHEMATICS | THEOREM | SEMIDIRECT PRODUCTS | REGULAR-SEMIGROUPS

commutative semigroup | ordered semigroup | relatively free profinite semigroup | completely regular semigroup | group | Pseudovariety | MATHEMATICS | THEOREM | SEMIDIRECT PRODUCTS | REGULAR-SEMIGROUPS

Journal Article

Annals of the Alexandru Ioan Cuza University - Mathematics, ISSN 1221-8421, 01/2013, Volume LIX, Issue 1, pp. 209 - 218

The purpose of this paper is to introduce and give some properties of -Rees matrix Γ-semigroups. Generalizing the results given by Guowei and Ping, concerning...

l-group | l - Γ-semigroup | l-Rees matrix Γ-semigroup | l-congruence | γ-idempotent | Γ-semigroup | Rees matrix Γ-semigroup | Gamma-semigroup | MATHEMATICS | l - Gamma-semigroup | gamma-idempotent | l-Rees matrix Gamma-semigroup | Rees matrix Gamma-semigroup

l-group | l - Γ-semigroup | l-Rees matrix Γ-semigroup | l-congruence | γ-idempotent | Γ-semigroup | Rees matrix Γ-semigroup | Gamma-semigroup | MATHEMATICS | l - Gamma-semigroup | gamma-idempotent | l-Rees matrix Gamma-semigroup | Rees matrix Gamma-semigroup

Journal Article

Semigroup Forum, ISSN 0037-1912, 4/2013, Volume 86, Issue 2, pp. 431 - 450

We show that there is an inclusion-preserving bijection between the set of all normal subsemigroups of a semigroup S and the set of all group congruences on S....

E -unitary congruence | Algebra | Idempotent pure congruence | E -semigroup | Group congruence | Idempotent-separating congruence | Mathematics | E -inversive semigroup | Eventually regular semigroup | Idempotent-surjective semigroup | E-inversive semigroup | E-unitary congruence | E-semigroup | EVENTUALLY REGULAR-SEMIGROUPS | MATHEMATICS | Computer science

E -unitary congruence | Algebra | Idempotent pure congruence | E -semigroup | Group congruence | Idempotent-separating congruence | Mathematics | E -inversive semigroup | Eventually regular semigroup | Idempotent-surjective semigroup | E-inversive semigroup | E-unitary congruence | E-semigroup | EVENTUALLY REGULAR-SEMIGROUPS | MATHEMATICS | Computer science

Journal Article

Mathematica Slovaca, ISSN 0139-9918, 08/2017, Volume 67, Issue 4, pp. 863 - 874

The notion of *-normal idempotents is introduced. The structure theorem for abundant semigroups with a *-normal idempotent is obtained. As its applications, we...

Primary 20M10 | (ordered) partial semigroup | Secondary 06F05 | abundant semigroup | unipotent semigroup | naturally ordered semigroup | MATHEMATICS | ORDERED REGULAR-SEMIGROUPS | CONSTRUCTION | Mathematical research | Group theory | Research | Theorems

Primary 20M10 | (ordered) partial semigroup | Secondary 06F05 | abundant semigroup | unipotent semigroup | naturally ordered semigroup | MATHEMATICS | ORDERED REGULAR-SEMIGROUPS | CONSTRUCTION | Mathematical research | Group theory | Research | Theorems

Journal Article

Czechoslovak Mathematical Journal, ISSN 0011-4642, 12/2014, Volume 64, Issue 4, pp. 1099 - 1112

An inverse semigroup S is pure if e = e 2, a ∈ S, e < a implies a 2 = a; it is cryptic if Green’s relation H on S is a congruence; it is a Clifford semigroup...

20M07 | completely semisimple inverse semigroup | Mathematics | cryptic inverse semigroup | Ordinary Differential Equations | inverse semigroup | pure variety | variety | Analysis | Convex and Discrete Geometry | Mathematics, general | combinatorial inverse semigroup | 20M20 | Mathematical Modeling and Industrial Mathematics | group-closed inverse semigroup | pure inverse semigroup | Clifford semigroup | MATHEMATICS | VARIETIES

20M07 | completely semisimple inverse semigroup | Mathematics | cryptic inverse semigroup | Ordinary Differential Equations | inverse semigroup | pure variety | variety | Analysis | Convex and Discrete Geometry | Mathematics, general | combinatorial inverse semigroup | 20M20 | Mathematical Modeling and Industrial Mathematics | group-closed inverse semigroup | pure inverse semigroup | Clifford semigroup | MATHEMATICS | VARIETIES

Journal Article

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