Rings related to completely 0-simple 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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Fountain, Gould and Smith introduced the concept of equivalence of orders in a semigroup and the notion of a maximal order. We examine these ideas in the context of orders in completely 0-simple semigroups with particular emphasis on abundant orders.
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1971
ISSN: 0004-9735
DOI: 10.1017/s1446788700009733