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Inverse semigroups and varieties of finite semigroups

Stuart W. Margolis, +1 more
- 15 Oct 1987 - 
- Vol. 110, Iss: 2, pp 306-323
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This article is published in Journal of Algebra.The article was published on 1987-10-15 and is currently open access. It has received 29 citations till now. The article focuses on the topics: Special classes of semigroups & Semigroup.

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Citations
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Book

The q-theory of Finite Semigroups

TL;DR: The q-theory of finite semigroups as mentioned in this paper is a theory that provides a unifying approach to finite semigroup theory via quantization, and it is the only contemporary exposition of the complete theory of the complexity of finite semiigroups.
Book

Syntactic semigroups

Jean-Eric Pin
TL;DR: HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, for teaching and research institutions in France or abroad, or from public or private research centers.
Journal ArticleDOI

Ash's type ii theorem, profinite topology and malcev products: part i

TL;DR: In this paper, it was shown that the type II conjecture is equivalent with two other conjectures on the structure of closed sets (one conjecture for the free monoid and another one for free groups).
Book ChapterDOI

On Reversible Automata

Jean-Eric Pin
TL;DR: Four non-trivial characterizations of the languages accepted by a reversible automaton equipped with a set of initial and final states are given and it is shown that one can effectively decide whether a given rational (or regular) language can be accepted by the automaton.
Journal ArticleDOI

Profinite categories and semidirect products

TL;DR: In this article, two complementary questions for semidirect products and pseudovarieties of semigroups are addressed: to determine when a pseudo-identity is valid in a semigroup and to find a basis of pseudoidentities.
References
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The algebraic theory of semigroups

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.