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Roczniki Nauk Społecznych, ISSN 0137-4176, 2012, Volume 40, Issue 1, pp. 147 - 153
Journal Article
Roczniki Nauk Społecznych, ISSN 0137-4176, 2009, Volume 37, Issue 1, pp. 245 - 250
Journal Article
ALGEBRA COLLOQUIUM, ISSN 1005-3867, 03/2019, Volume 26, Issue 1, pp. 9 - 22
For an infinite set X, denote by Omega(X) the semigroup of all surjective mappings from X to X. We determine Green's relations in Omega(X), show that the... 
MATHEMATICS | kernels | MATHEMATICS, APPLIED | transformation semigroups | Green's relations | surjective transformations
Journal Article
Semigroup Forum, ISSN 0037-1912, 6/2018, Volume 96, Issue 3, pp. 474 - 488
Let $$\mathcal {I}(X)$$ I(X) be the symmetric inverse semigroup of partial injective transformations on a set X (finite or infinite). For $$\alpha \in \mathcal... 
Centralizers | Symmetric inverse semigroup | Mathematics | Algebra | Green’s relations | Centralizers · Green’s relations | MATHEMATICS | Green's relations | SET | ENDOMORPHISMS | IDEMPOTENTS | GRAPHS
Journal Article
Journal of Algebra and its Applications, ISSN 0219-4988, 02/2018, Volume 17, Issue 2
The conjugacy relation plays an important role in group theory. If a and b are elements of a group G, a is conjugate to b if g(-1) ag = b for some g is an... 
Semigroups | conjugacy | functional digraphs | transformations | MATHEMATICS | N-NORMAL SEMIGROUPS | MATHEMATICS, APPLIED | TO-ONE TRANSFORMATIONS | MONOIDS
Journal Article
Transport Problems, ISSN 1896-0596, 2018, Volume 13, Issue 2, pp. 111 - 120
In this work, we presented the influence of the anodizing method and parameters, as well as the chemical composition of the used aluminium alloys on the... 
Wear resistance | Aluminium alloys | Microstructure | Anodization | Surface layer | anodization | aluminium alloys | microstructure | surface layer | wear resistance
Journal Article
E3S Web of Conferences, ISSN 2267-1242, 07/2018, Volume 45, p. 17
The intensive development of urban areas results in the sealing of increasingly large areas. In such conditions the existing sewer systems are quite often... 
Conference Proceeding
Semigroup Forum, ISSN 0037-1912, 10/2011, Volume 83, Issue 2, pp. 281 - 288
In 1968 Devadze described, without a proof, minimal sets of generators of the semigroup of n×n Boolean matrices. We provide a proof of Devadze’s theorem. 
Binary relations | Boolean matrices | Mathematics | Generators | Algebra
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 06/2013, Volume 87, Issue 3, pp. 462 - 479
For an arbitrary set X (finite or infinite), denote by I(X) the symmetric inverse semigroup of partial injective transformations on X. For alpha is an element... 
Green's relations | symmetric inverse semigroup | regular elements | centralisers | MATHEMATICS | SET | IDEMPOTENTS | TRANSFORMATIONS | GRAPHS
Journal Article
Asian-European Journal of Mathematics, ISSN 1793-5571, 2014, Volume 7, Issue 1
Journal Article
Arthritis & Rheumatology, ISSN 2326-5191, 01/2018, Volume 70, Issue 1, pp. 40 - 48
Journal Article
Journal of Vibration and Control, ISSN 1077-5463, 07/2008, Volume 14, Issue 7, pp. 1075 - 1088
Studies of systems with energy regeneration have been carried out for years, because they primarily cover the assemblies with electrodynamic actuators. This... 
Isolation | Energy recovering | Experimental research | Active control | ACOUSTICS | MECHANICS | experimental research | isolation | active control | energy recovering | ENGINEERING, MECHANICAL | Usage | Vibration | Research | Analysis | Hydraulic actuators | Testing | Laboratory tests | Regeneration | Actuators | Degrees of freedom | Power supplies | Energy use | Mechanical properties | Electrohydraulic | Assemblies | Vibration analysis
Journal Article
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, ISSN 0308-2105, 12/2017, Volume 147, Issue 6, pp. 1169 - 1214
The action of any group on itself by conjugation and the corresponding conjugacy relation play an important role in group theory. There have been many attempts... 
Conjugacy | Epigroups | Symmetric inverse semigroups | MATHEMATICS, APPLIED | GENERATORS | VARIANTS | INDEPENDENCE ALGEBRA | RANK | CENTRALIZERS | MONOIDS | MATHEMATICS | symmetric inverse semigroups | conjugacy | PRODUCTS | IDEMPOTENT ENDOMORPHISMS | PARTITION | epigroups | TRANSFORMATIONS | Transformations (mathematics) | Mathematical analysis | Automata theory | Group theory | Conjugation | Matrix methods | Monoids
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 10/2010, Volume 82, Issue 2, pp. 305 - 321
For an infinite set X. denote by Gamma(X) the semigroup of all injective mappings from X to X. For alpha is an element of Gamma(X), let C(alpha) = {beta is an... 
injective transformations | centralizers | Greens relations | MATHEMATICS | AUTOMORPHISMS | Green's relations | TO-ONE TRANSFORMATIONS
Journal Article
Semigroup Forum, ISSN 0037-1912, 06/2017, Volume 94, Issue 3, pp. 650 - 673
A mapping is called a Cayley function if there exist an associative operation and an element such that for every . The aim of the paper is to give a... 
Functional digraphs | Inner translations | Cayley functions | MATHEMATICS | AUTOMORPHISM-GROUPS | SET | CENTRALIZERS | DIGRAPHS | IDEMPOTENTS | TRANSFORMATIONS
Journal Article
Journal of Algebra, ISSN 0021-8693, 09/2019, 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
Journal Article
Combinatorica, ISSN 0209-9683, 2/2018, Volume 38, Issue 1, pp. 1 - 28
We characterize the automorphism groups of circulant digraphs whose connection sets are relatively small, and of unit circulant digraphs. For each class, we... 
20B25 | Mathematics, general | Mathematics | 20M20 | Combinatorics | 05C25 | MATHEMATICS | PERMUTATION-GROUPS | SCHUR RINGS | ENDOMORPHISM-MONOIDS | ISOMORPHISMS | Resveratrol
Journal Article
Semigroup Forum, ISSN 0037-1912, 10/2011, Volume 83, Issue 2, pp. 281 - 288
In 1968 Devadze described, without a proof, minimal sets of generators of the semigroup of nxn Boolean matrices. We provide a proof of Devadze's theorem. 
Binary relations | Boolean matrices | Generators | MATHEMATICS
Journal Article
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