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Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly ∗-extensions of monoids
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In this paper, we determine necessary and sufficient conditions for Bruck–Reilly and generalized Bruck–Reilly ∗-extensions of monoids to be unit regular, completely regular and orthodox. In addition, we characterize the congruences on generalized Bruck–Reilly ∗-extension of a monoid.
World Scientific Pub Co Pte Ltd
Title: Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly ∗-extensions of monoids
Description:
In this paper, we determine necessary and sufficient conditions for Bruck–Reilly and generalized Bruck–Reilly ∗-extensions of monoids to be unit regular, completely regular and orthodox.
In addition, we characterize the congruences on generalized Bruck–Reilly ∗-extension of a monoid.
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