A note on restriction semigroups

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS（2021）

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摘要

It is proved that if S is a weakly reductive semigroup, then S is a (proper; Clifford; E-reflexive) restriction semigroup if and only if Omega(S) is a (proper; Clifford; E-reflexive) restriction semigroup and Pi(S) is a (2, 1, 1)-subsemigroup of Omega(S).

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关键词

restriction semigroup, translational hull, weakly reductive semigroup

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