Results 11 to 20 of about 1,175 (227)
The rank of a commutative semigroup [PDF]
Mathematica Bohemica, 2009 Summary: The concept of rank of a commutative cancellative semigroup is extended to all commutative semigroups \(S\) by defining \(\text{rank\,}S\) as the supremum of cardinalities of finite independent subsets of \(S\). Representing such a semigroup \(S\) as a semilattice \(Y\) of (Archimedean) components \(S_\alpha\), we prove that \(\text{rank\,}S\)
Cegarra, Antonio M., Petrich, Mario
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Neutrosophic LA-Semigroup Rings [PDF]
Neutrosophic Sets and Systems, 2015 Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures.
Mumtaz Ali +3 more
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THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP [PDF]
Journal of Sciences, Islamic Republic of Iran, 1992 In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is ...
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Slightly Commutative Kleene Semigroups
Journal of Algebra, 1997 A classical result of automata theory is Kleene's theorem: the recognisable languages in a finitely generated free monoid are the same as the rational languages; a language is recognisable if it is saturated by a congruence of finite index, whereas it is rational if it can be constructed from finite languages by means of unions, products and `Kleene ...
Rupert, C.P.
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On the joins of semigroup varieties with the variety of commutative semigroups [PDF]
Proceedings of the American Mathematical Society, 1994 We show that the join of a variety of semigroups and the variety of all commutative semigroups is not finitely based, provided some weak conditions.
Sapir, M. V., Volkov, M. V.
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Commutativity in Double Interchange Semigroups [PDF]
Applied Categorical Structures, 2018 25 pages, 5 figures, 27 references, comments ...
Fatemeh Bagherzadeh, Murray R. Bremner
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Varieties of commutative semigroups [PDF]
Transactions of the American Mathematical Society, 1994 In this paper, we describe all equational theories of commutative semigroups in terms of certain well-quasi-orderings on the set of finite sequences of nonnegative integers. This description yields many old and new results on varieties of commutative semigroups.
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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On Semisimple Commutative Semigroups [PDF]
Transactions of the American Mathematical Society, 1975 This paper presents an application of radical theory to the structure of commutative semigroups via their semilattice decomposition. Maximal group congruences and semisimplicity are characterized for certain classes of commutative semigroups and
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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