Journal
LOBACHEVSKII JOURNAL OF MATHEMATICS
Volume 29, Issue 3, Pages 141-152Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S1995080208030050
Keywords
Gamma-semigroup; Gamma-group; left; right; one-sided; quasi; bi-ideal; minimal quasi-ideal; canonical quasi-ideal; regular; semiprime; quasi-reflexive
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We give some characterizations of quasi-ideals in Gamma-semigroups and some characterizations of the regularity of a Gamma-semigroup in terms of left, right, quasi- and bi-ideals. Also, we introduce and give some characterizations of semiprime and quasi-reflexive Gamma-semigroups in terms of minimal and canonical quasi- ideals generalizing those for semigroups.
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