Results 21 to 30 of about 1,010,344 (260)
Semigroup of k-bi-Ideals of a Semiring with Semilattice Additive Reduct
Demonstratio Mathematica, 2016 We associate a semigroup B(S) to every semiring S with semilattice additive reduct, namely the semigroup of all k-bi-ideals of S; and such semirings S have been characterized by this associated semigroup B(S). A semiring S is k-regular if and only if B(S)
Bhuniya A. K., Jana K.
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, 2012 In this thesis we consider in detail the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by it.
Ruškuc, Nik
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Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range
International Journal of Mathematics and Mathematical Sciences, 2008 Let T(X) be the full transformation semigroup on the set X and let T(X,Y)={α∈T(X):Xα⊆Y}. Then T(X,Y) is a sub-semigroup of T(X) determined by a nonempty subset Y of X.
Jintana Sanwong, Worachead Sommanee
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Partial orders in regular semigroups [PDF]
Proyecciones (Antofagasta), 2011 First we have obtained equivalent conditions for a regular semigroup and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ⊆ S and on a completely regular semigroup S ⊆ N and S is partial order . It is also obtained that a band (S, .) is normal iff C = N .
Srinivas, K. V. R, Anasuya, Y. L
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On disjoint unions of finitely many copies of the free monogenic semigroup [PDF]
, 2013 Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.Peer ...
Ruskuc, Nik, Abughazalah, Nabilah
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On regularity preservation in a semigroup [PDF]
Bulletin of the Australian Mathematical Society, 2004 We consider certain subsets of a semigroupS, defined mainly by conditions involving regularity preservation. In particular, theregular baseB(S) ofSmay be regarded as a generalisation of the zero ideal in a semigroup with zero; if it non-empty thenSisE-inversive. The other subsets considered are related in a natural way either to B(S) or to the set RP(S)
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On maximal subgroups of free idempotent generated semigroups [PDF]
, 2011 We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Ruskuc, N. +5 more
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Every group is a maximal subgroup of the free idempotent generated semigroup over a band [PDF]
, 2013 Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several
Ruskuc, Nik +3 more
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Regularity of Po-Γ-semigroups in Terms of Fuzzy Subsemigroups and Fuzzy Bi-ideals
Fuzzy Information and Engineering, 2015 In this paper, the notions of fuzzy subsemigroups and fuzzy bi-ideals of a po-Γ-semigroup are introduced with some of their important properties investigated. We obtain some characterizations of regular, intra-regular po-Γ-semigroups in terms of fuzzy bi-
Pavel Pal +3 more
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Proper Regular Semigroups [PDF]
Proceedings of the American Mathematical Society, 1978 In a recent paper, D. B. McAlister gave several characterizations of proper inverse semigroups. In this paper, the concept of proper is extended to the class of regular semigroups. This is done by requiring that the set of idempotents of the semigroup coincides with the kernel of the minimum group congruence on the semigroup.
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