Certain congruence and quotient lattices related to completely 0-simple and primitive regular semigroups
نویسندگان
چکیده
منابع مشابه
Generating Sets of Completely 0-simple Semigroups
A formula for the rank of an arbitrary finite completely 0-simple semigroup, represented as a Rees matrix semigroup M[G; I,Λ;P ] , is given. The result generalises that of Ruškuc concerning the rank of connected finite completely 0-simple semigroups. The rank is expressed in terms of |I| , |Λ| , the number of connected components k of P and a number rmin which we define. We go on to show that t...
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A variety of semigroups that is minimal with respect to being non-finitely based is said to be a limit variety. By Zorn’s Lemma, each non-finitely based variety contains at least one limit subvariety. Although many examples of non-finitely based varieties are known in the literature (see [3, 5]), explicit examples of limit varieties are very rarely discovered [1, 2, 4]. The objective of the pre...
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 1969
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089500000483