Completely Regular Semigroups with Generalized Strong Semilattice Decompositions
Keyword(s):
The concept of ρG-strong semilattice of semigroups is introduced. By using this concept, we study Green's relation ℋ on a completely regular semigroup S. Necessary and sufficient conditions for S/ℋ to be a regular band or a right quasi-normal band are obtained. Important results of Petrich and Reilly on regular cryptic semigroups are generalized and enriched. In particular, characterization theorems of regular cryptogroups and normal cryptogroups are obtained.
2001 ◽
Vol 63
(3)
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pp. 407-433
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2014 ◽
Vol 24
(05)
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pp. 531-551
1973 ◽
Vol 14
(1)
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pp. 27-49
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2008 ◽
Vol 01
(01)
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pp. 69-76
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1983 ◽
Vol 35
(2)
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pp. 227-235
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1986 ◽
Vol 34
(1)
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pp. 127-132
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1980 ◽
Vol 29
(4)
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pp. 475-503
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