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ON MULTIPLICATIVE IDEMPOTENTS OF A POTENT SEMIRING. [PDF]
Bourne S.
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Unification in partially commutative semigroups
Journal of Automated Reasoning, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burke E K
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The Cocycle Equation on Commutative Semigroups
Results in Mathematics, 2014Suppose that \((S,.)\) is a commutative semigroup and \((G, +)\) is a divisible abelian group with identity \(0\), i.e., for any positive integer \(n\) and any element \(y \in G\) there exists an element \(x\in G\) such that \(nx=y\). Any solution \(F: S \times S\to G\) of the functional equation \(F(x, y) + F(xy, z) = F(x, yz) + F(y, z)\) \((x, y, z ...
Bruce Ebanks, Ebanks Bruce
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Algebra Colloquium, 2011
The commutativity degree of groups and rings has been studied by certain authors since 1973, and the main result obtained is [Formula: see text], where Pr (A) is the commutativity degree of a non-abelian group (or ring) A. Verifying this inequality for an arbitrary semigroup A is a natural question, and in this paper, by presenting an infinite class ...
Ahmadidelir, K. +2 more
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The commutativity degree of groups and rings has been studied by certain authors since 1973, and the main result obtained is [Formula: see text], where Pr (A) is the commutativity degree of a non-abelian group (or ring) A. Verifying this inequality for an arbitrary semigroup A is a natural question, and in this paper, by presenting an infinite class ...
Ahmadidelir, K. +2 more
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On RDGCn-commutative permutable semigroups
Periodica Mathematica Hungarica, 2004A semigroup is \(RDGC_n\)-commutative if (i) it satisfies the identity \(x^nyx^i=x^iyx^n\) for each \(i\geq 2\) and (ii) every right ideal is two-sided. In the paper under review, the \(RDGC_n\)-commutative semigroups that have permutable congruences or whose congruence lattice is a chain are classified.
Zhonghao Jiang, Limin Chen
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2001
In this chapter we deal with semigroups in which the Green equivalence R (L, H) is a congruence. These semigroups are called R-commutative (L-commutative, H-commutative) semigroups. It is clear that a semigroup is H-commutative if and only if it is RR-commutative and L-commutative.
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In this chapter we deal with semigroups in which the Green equivalence R (L, H) is a congruence. These semigroups are called R-commutative (L-commutative, H-commutative) semigroups. It is clear that a semigroup is H-commutative if and only if it is RR-commutative and L-commutative.
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Commutative Non-Singular Semigroups
Canadian Mathematical Bulletin, 1977It is well known (see [5]) that the maximal right quotient ring of a ringRis (von Neumann) regular if and only ifRis (right) non-singular (every large right ideal is dense). In [8] it was shown that for a semigroupS, the regularity ofQ(S), the maximal right quotient semigroup [7], is independent of the non-singularity ofS.
Johnson, C. S. jun., McMorris, F. R.
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Matrix semigroups with commutable rank
Semigroup Forum, 2003The authors study complex matrix semigroups (and algebras) on which rank is commutable (i.e., \(\text{rank}(AB)=\text{rank}(BA)\)). It is shown that in a number of cases (e.g., in dimension \(\leq 6\)), but not always, commutativity of rank entails permutability of rank (i.e., \(\text{rank}(A_1A_2\cdots A_n)=\text{rank}(A_{\sigma(1)}A_{\sigma(2)}\cdots
Livshits, L. +4 more
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On Ideals of Quasi-Commutative Semigroups
Bulletin of the Iranian Mathematical Society, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Commutativity Relation in the Symmetric Semigroup
Siberian Mathematical Journal, 2004Summary: We compute the cardinality of the centralizer of an injection or surjection provided that the basic set is countable. We prove a formula for the cardinality of the set of conjugacy classes in the infinite symmetric group.
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