Another proof of a theorem concerning the greatest semilattice-decomposition of a semigroup
Takayuki Tamura
- Vol. 40, Iss: 10, pp 777-780
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The article was published on 1964-01-01 and is currently open access. It has received 42 citations till now. The article focuses on the topics: Cancellative semigroup & Bicyclic semigroup.read more
Citations
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Semilattice decompositions of semigroups
TL;DR: In this article, the authors developed a general theory of semilattice decompositions of semigroups from the point of view of obtaining theorems of the type: a semigroup S has propertyD if and only if S is a semilettice of a semigroup having property β.
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On medial semigroups
TL;DR: In this article, the authors generalize the results of Tamura and Kimura to medial semigroups and prove that the congruence classes of cnr are Archimedean semigroup.
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On linear algebraic semigroups
TL;DR: In this paper, it was shown that a connected algebraic semigroup S with idempotent set E(S) is connected if the underlying set is irreducible.
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On Commutative Δ-Semigroups
TL;DR: In this article, the authors obtained important results on commutative Δ-semigroups, namely, they showed that Δ-Semigroups can be decomposed into commutativity-constrained semigroups.
References
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Book
The algebraic theory of semigroups
A. H. Clifford,G. B. Preston +1 more
TL;DR: A survey of the structure and representation theory of semi groups is given in this article, along with an extended treatment of the more important recent developments of Semi Group Structure and Representation.
Journal ArticleDOI
Supplement to my paper ``The theory of construction of finite semigroups II''
Journal ArticleDOI
Existence of greatest decomposition of a semigroup
Takayuki Tamura,Naoki Kimura +1 more