A Structure of Quasi-C* Semigroups
2013 ◽
Vol 303-306
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pp. 1556-1558
An abundant semigroup is called a quasi-C* semigroup if xeyz=xyez for any x,y,z in S and e in E(S). In this article, we studied the structure of quasi-C* semigroups. By using the quasi-direct product, we prove that a semigroup S is a quasi-C* semigroup if and only if S is a quasi-direct product of a left normal band, a C-a semigroup and a right normal band. This result generalizes C-a semigroups.
2019 ◽
Vol 10
(7)
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pp. 1476-1481
2019 ◽
Vol 9
(1)
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pp. p8592
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2019 ◽
Vol 19
(02)
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pp. 2050036
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2001 ◽
Vol 64
(1)
◽
pp. 71-79
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