Results 191 to 200 of about 1,200 (220)
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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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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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ON THE ISOMORPHISM PROBLEM FOR COMMUTATIVE SEMIGROUPS
Mathematics of the USSR-Sbornik, 1974We give some statements on the structure of finitely generated commutative semigroups which permit us to find necessary and sufficient conditions of isomorphism of two finitely presented commutative semigroups. This part of the article might be of independent interest.
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ON PSEUDO-COMMUTATIVE PO-SEMIGROUPS
1995In this paper a partially ordered (p.o.) semigroup \((S,\cdot,\leq)\) is called right pseudo-commutative if for all \(x,y\in S\) there exist \(n,\lambda\in\mathbb{N}\) such that \((xy)^n\leq xy^\lambda\) (left pseudo-commutative is defined dually). [It is claimed that every such p.o.
Gao, Z. L., Shum, K. P.
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Extension of cancelable commutative semigroups
Proceedings of the 5th International Conference on Big Data Technologies, 2022Zhaoying Chen, Xiuqing Wang
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TRIANGULAR FUNCTIONALS ON COMMUTATIVE SEMIGROUPS
1984The author discusses conditions which allow one to begin with a functional on a commutative topological semigroup and produce a subadditive homogeneous functional with the same zero set and the same zero convergence. He establishes a result pertaining to extensions of homogeneous triangular functionals on a topological semigroup with zero.
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CHARACTERS ON COMMUTATIVE SEMIGROUPS
The Quarterly Journal of Mathematics, 1968openaire +1 more source
On commutative subideal series of semigroups
2001Summary: A semigroup with a commutative subideal series strictly shorter than any of its commutative ideal series is exhibited.
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