Idempotent semigroups on lattices
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This article is published in Japanese journal of mathematics :transactions and abstracts.The article was published on 1969-01-01 and is currently open access. It has received 2 citations till now. The article focuses on the topics: Idempotence.read more
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Sur les σ-bandes finies et les demi-groupes totalement ordonnes σ-simples
TL;DR: In this paper, a characterization of totally ordered σ-simple finite bands and a process for constructing them is given, in particular, a characterization for σ simple finite bands with no proper convex ideals.
References
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On the Structure of Semigroups
TL;DR: In this article, a semigroup is defined as a set S closed to a single associative, binary multiplication, and its product equivalence is denoted by b. The equivalence b is to be compared with the two-sided analogue f of I and r; x 3 y(f) means that x and y generate the same 2-sided ideal.
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Bands of semigroups
TL;DR: In this article, it was shown that a band of semigroups of type 13 is a semilattice of groups, each of which is a matrix of subsemigroups.
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Regular -classes in semigroups
D. D. Miller,A. H. Clifford +1 more
TL;DR: In this article, the Rees-Suschkewitsch Theorem for matrix representations of semigroups was shown to be equivalent to the notion of regularity in the sense of von Neumann.
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Connected ordered topological semigroups with idempotent endpoints. II.
TL;DR: In this article, the problem of finding all possible linear extensions S of a right-simple thread K by a thread T with zero has been studied, and it has been shown that if the zero element of T is at one end, then an extension S of K by T always exists, and all such are given by Theorem 8 below.
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