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Communications in Algebra, ISSN 0092-7872, 02/2018, Volume 46, Issue 2, pp. 740 - 755
Let S be an ℛ-unipotent semigroup such that the idempotent set E(S) is locally ℒ-finite, and let R be a commutative ring with identity. In this paper, we... 
semigroup algebras | 16G30 | 20M25 | ℛ-unipotent semigroups | 17C20 | left regular bands | orthogonal idempotents | π-semisimple | 17C27 | 17C17 | MATHEMATICS | R-unipotent semigroups | pi-semisimple | RINGS | Group theory
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 05/2019, Volume 92, pp. 110 - 155
Using a variant of Schreier's Theorem, and the theory of Green's relations, we show how to reduce the computation of an arbitrary subsemigroup of a finite... 
Subsemigroups | Algorithms | Green's relations | Semigroups | Graphs | Monoids | Regular semigroups | Digraphs | TRANSFORMATION | MATHEMATICS, APPLIED | GENERATING SETS | COMPUTER SCIENCE, THEORY & METHODS | Mathematics - Rings and Algebras
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 07/2018, Volume 370, Issue 7, pp. 4993 - 5032
In this paper we introduce the notion of slice regular right linear semigroup in a quaternionic Banach space. It is an operatorial function which is slice... 
Resolvent | Quaternions | Functions of hypercomplex variables | Analytic semigroups | Slice regular semigroups | Functional calculus | Spectrum | FUNCTIONAL-CALCULUS | MATHEMATICS | functions of hypercomplex variables | quaternions | functional calculus | spectrum | resolvent | analytic semigroups
Journal Article
Semigroup Forum, ISSN 0037-1912, 4/2016, Volume 92, Issue 2, pp. 414 - 448
The aim of this paper is to study weakly $$U$$ U -regular semigroups, a wide class containing all regular semigroups and all abundant semigroups with a regular... 
Regular biordered set | Mathematics | Weakly $$U$$ U -regular semigroup | Algebra | Weakly regular category | Weakly U-regular semigroup | MATHEMATICS | ORTHODOX SEMIGROUPS
Journal Article
Asian-European Journal of Mathematics, ISSN 1793-5571, 07/2018
Journal Article
Semigroup Forum, ISSN 0037-1912, 2/2019, Volume 98, Issue 1, pp. 172 - 183
Let $${\mathcal {T}}_n$$ T n be the semigroup of all full transformations on the finite set $$X_n=\{1,2,\ldots , n\}$$ X n = { 1 , 2 , … , n } . For $$1 \le r... 
Mathematics | Maximal regular subsemiband | Locally maximal regular subsemiband | Algebra | Maximal regular subsemigroup | MATHEMATICS | ORIENTATION | IDEMPOTENT-GENERATED SUBSEMIGROUPS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2019, Volume 371, Issue 1, pp. 105 - 136
The purpose of this paper is to advance our knowledge of two of the most classic and popular topics in transformation semigroups: automorphisms and the size of... 
primitive groups | AUTOMORPHISM-GROUPS | GENERATORS | regular semigroups | PERMUTATION-GROUPS | ENDOMORPHISM SEMIGROUPS | CLASSIFICATION | NILPOTENT RANKS | MONOIDS | automorphisms of semigroups | CATEGORIES | Transformation semigroups | rank of semigroups | MATHEMATICS | homogeneous groups | permutation groups | TRANSITIVE COLLINEATION GROUPS | TRANSFORMATIONS
Journal Article
Semigroup Forum, ISSN 0037-1912, 10/2017, Volume 95, Issue 2, pp. 251 - 258
The Gamma semigroup with parameter $$b>0$$ b > 0 on $$L^p(\mathbb R^+)$$ L p ( R + ) is defined by $$\begin{aligned} W_b(t)f(x)=\frac{1}{\Gamma (t)}\int... 
Gamma semigroup | Mathematics | Algebra | Regular semigroup | S -Volterra operator | Imaginary type | S-Volterra operator | MATHEMATICS | SIMILARITY | OPERATORS
Journal Article
Algebra Colloquium, ISSN 1005-3867, 06/2018, Volume 25, Issue 2, pp. 295 - 318
Journal Article
Information Sciences, ISSN 0020-0255, 2011, Volume 181, Issue 9, pp. 1759 - 1770
Journal Article
Journal of the Australian Mathematical Society, ISSN 1446-7887, 10/2018, Volume 105, Issue 2, pp. 257 - 288
As generalizations of inverse semigroups, Ehresmann semigroups are introduced by Lawson and investigated by many authors extensively in the literature. In... 
admissible quadruple | multiplicative inverse transversal | Ehresmann semigroup | pseudo-Ehresmann semigroup | inductive pseudocategory | MATHEMATICS | ABUNDANT SEMIGROUPS | RESTRICTION SEMIGROUPS | MONOIDS | INVERSE TRANSVERSALS | Ehermann semigroup | REGULAR-SEMIGROUPS
Journal Article
Semigroup Forum, ISSN 0037-1912, 06/2017, Volume 94, Issue 3, pp. 738 - 776
We study semigroups that behave nicely with respect to a distinguished subset of idempotents E, both in terms of the extended Green's relations and as unary... 
Abundant semigroups | Generalized inverses | Restriction semigroups | Extended Green’s relations | MATHEMATICS | Extended Green's relations | THEOREM | REES MATRIX SEMIGROUPS | QUOTIENTS | NATURAL PARTIAL ORDER | REGULAR-SEMIGROUPS | Group Theory | Mathematics | Rings and Algebras
Journal Article
Applicable Algebra in Engineering, Communications and Computing, ISSN 0938-1279, 06/2017, Volume 28, Issue 3, pp. 225 - 235
For a finitely generated automatic semigroup S = < A > we define a semigroup L-S of languages concerning the automatic structure of S, and study the... 
Finite automata | Regular languages | Automatic semigroup | MATHEMATICS, APPLIED | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, THEORY & METHODS | Robots
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2017, Volume 446, Issue 2, pp. 1393 - 1414
Let X={Xt}t≥0 be a Lévy process in Rd and Ω be an open subset of Rd with finite Lebesgue measure. In this article we consider the quantity H(t)=∫ΩPx(Xt∈Ωc)dx... 
Perimeter | Characteristic exponent | Regular variation | Isotropic Lévy process | Asymptotic behaviour | Heat content | MATHEMATICS | MATHEMATICS, APPLIED | Isotropic Levy process | LEVY PROCESSES | SETS | GROWTH | Mathematics - Probability
Journal Article
Semigroup Forum, ISSN 0037-1912, 10/2010, Volume 81, Issue 2, pp. 380 - 388
A ternary semigroup is a nonempty set together with a ternary multiplication which is associative. Analogous to the theory of semigroups, a regularity... 
Algebra | Regular | Mathematics | Semigroup cover | Idempotent pair | Ternary semigroups | Strongly regular | MATHEMATICS
Journal Article
Semigroup Forum, ISSN 0037-1912, 6/2018, Volume 96, Issue 3, pp. 452 - 473
In this paper we construct a model for the free idempotent generated locally inverse semigroup on a set X. The elements of this model are special... 
Free idempotent generated semigroup | Mathematics | Free pseudosemilattice | Algebra | Bipartite graph | Locally inverse semigroup | MATHEMATICS | EXISTENCE VARIETIES | SUBGROUPS | REGULAR-SEMIGROUPS | Analysis | Web services
Journal Article
Semigroup Forum, ISSN 0037-1912, 8/2018, Volume 97, Issue 1, pp. 32 - 52
A generalised D-semigroup is here defined to be a left E-semiabundant semigroup S in which the $$\overline{\mathcal R}_E$$ R¯E -class of every $$x\in S$$ x∈S... 
D-semigroup | Mathematics | Algebra | E -semiabundant semigroup | Regular semigroup | E-semiabundant semigroup | MATHEMATICS | ADEQUATE SEMIGROUPS | ABUNDANT SEMIGROUPS
Journal Article
by Chen, YZ and Yang, B and Gan, AP
ALGEBRA COLLOQUIUM, ISSN 1005-3867, 09/2019, Volume 26, Issue 3, pp. 387 - 400
We introduce a new class of semigroups called strict abundant semigroups, which are concordant semigroups and subdirect products of completely J*-simple... 
strict abundant semigroup | MATHEMATICS | regular semigroup | MATHEMATICS, APPLIED | abundant semigroup | INVERSE | structure | strict regular semigroup
Journal Article
Fuzzy Sets and Systems, ISSN 0165-0114, 05/2018, Volume 339, pp. 31 - 50
Fuzzy (frame-valued) ordered semigroups are investigated with the orders being L-partial orders. In this framework, L-left (resp. L-right) ideals, L-bi-ideals... 
L-left (resp. L-right) ideals | L-topological semigroups | L-bi-ideals | Categorical isomorphism | Regular | L-quasi-ideals | L-ordered semigroups | MATHEMATICS, APPLIED | TERMS | FUZZY | STATISTICS & PROBABILITY | PREORDER | L-left (resp L-right) ideals | COMPUTER SCIENCE, THEORY & METHODS
Journal Article
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