Flows on Classes of Regular Semigroups and Cauchy Categories
نویسندگان
چکیده
منابع مشابه
Flows on Regular Semigroups
We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid – a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure of the set of all flows is determined in terms of the Green relations on the original semigroup.
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15 صفحه اولRegular ordered semigroups and intra-regular ordered semigroups in terms of fuzzy subsets
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Congruences on Regular Semigroups
Let S be a regular semigroup and let p be a congruence relation on S. The kernel of p, in notation kerp, is the union of the idempotent p-classes. The trace of p, in notation trp, is the restriction of p to the set of idempotents of S. The pair (kerp,trp) is said to be the congruence pair associated with p. Congruence pairs can be characterized abstractly, and it turns out that a congruence is ...
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2019
ISSN: 2314-4629,2314-4785
DOI: 10.1155/2019/8027391