Rings related to completely 0-simple semigroups

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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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ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society

سال: 1971

ISSN: 0004-9735

DOI: 10.1017/s1446788700009733