REPRESENTATIONS OF LOCALLY INVERSE *-SEMIGROUPS
1996 ◽
Vol 06
(05)
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pp. 541-551
Keyword(s):
The One
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The first author obtained a generalization of Preston-Vagner Representation Theorem for generalized inverse *-semigroups. In this paper, we shall generalize their results for locally inverse *-semigroups. Firstly, by introducing a concept of a π-set (which is slightly different from the one in [7]), we shall construct the π-symmetric locally inverse *-semigroup on a π-set, and show that any locally inverse *-semigroup can be embedded up to *-isomorphism in the π-symmetric locally inverse semigroup on a π-set. Moreover, we shall obtain that the wreath product of locally inverse *-semigroups is also a locally inverse *-semigroup.
2008 ◽
Vol 45
(3)
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pp. 395-409
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1977 ◽
Vol 18
(2)
◽
pp. 199-207
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1982 ◽
Vol 12
(2)
◽
pp. 205-212
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1988 ◽
Vol 310
(1)
◽
pp. 313-313
◽
1972 ◽
Vol 13
(2)
◽
pp. 167-175
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1985 ◽
Vol 94
(4)
◽
pp. 553-553
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