Algebraic theory of finite semigroups
John Rhodes (1969-1970)
Séminaire Dubreil. Algèbre et théorie des nombres
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John Rhodes (1969-1970)
Séminaire Dubreil. Algèbre et théorie des nombres
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Fitore Abdullahu, Abdullah Zejnullahu (2009)
Commentationes Mathematicae Universitatis Carolinae
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The class of semigroups satisfying semimedial laws is studied. These semigroups are called semimedial semigroups. A connection between semimedial semigroups, trimedial semigroups and exponential semigroups is presented. It is proved that the class of strongly semimedial semigroups coincides with the class of trimedial semigroups and the class of dimedial semigroups is identical with the class of exponential semigroups.
Shoufeng Wang (2017)
Open Mathematics
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As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature. In particular, Gomes and Gould construct a fundamental Ehresmann semigroup CE from a semilattice E which plays for Ehresmann semigroups the role that TE plays for inverse semigroups, where TE is the Munn semigroup of a semilattice E. From a varietal perspective, Ehresmann semigroups are derived from reduction...
Janet Ault, Mario Petrich (1969-1970)
Séminaire Dubreil. Algèbre et théorie des nombres
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Janusz Woś (1982)
Colloquium Mathematicae
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F.P. Gagnon (1981)
Semigroup forum
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Simon M. Goberstein (1980)
Semigroup forum
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T.E. Nordahl, H.E. Scheiblich (1978)
Semigroup forum
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S. Satoh, K. Yama, M. Tokizawa (1994)
Semigroup forum
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Ze Gu, Xilin Tang (2015)
Open Mathematics
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In this paper, we give some new characterizations of orthodox semigroups in terms of the set of inverses of idempotents. As a generalization, a new class of regular semigroups, namely Vn-semigroups, is introduced. Also, we give a characterization of Vn-semigroups and investigate some properties of Vn-semigroups. Furthermore, we show that the class of Vn-semigroups is closed under direct products and homomorphic images. However, regular subsemigroups of Vn-semigroups (n ≥ 2) are not necessarily...