Semigroups whose idempotents form a subsemigroup
نویسندگان
چکیده
منابع مشابه
Semigroups whose idempotents form a subsemigroup ∗
We prove that every semigroup S in which the idempotents form a sub-semigroup has an E-unitary cover with the same property. Furthermore, if S is E-dense or orthodox, then its cover can be chosen with the same property. Then we describe the structure of E-unitary dense semigroups. Our results generalize Fountain's results on semigroups in which the idempotents commute, and are analogous to thos...
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ژورنال
عنوان ژورنال: Mathematical Proceedings of the Cambridge Philosophical Society
سال: 1992
ISSN: 0305-0041,1469-8064
DOI: 10.1017/s0305004100075332