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3 votes
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Semigroups containing an ideal with a local identity

I'm looking for some classes of semigroups containing a (proper) ideal with a local identity (i.e., ideal submonoid). Can somebody give some examples or/and theorems for the followings cases: (a) ...
M.H.Hooshmand's user avatar
2 votes
0 answers
169 views

What is the difference between a monosemiring and a semigroup?

What is the difference between a monosemiring and a semigroup? The following definitions are for clarity of my question. A semigroup $S$ is a non empty set that satisfies closure and associativity ...
gete's user avatar
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1 vote
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66 views

First isomorphism theorem for inverse semigroups together with v-prehomomorphisms?

In this old paper D. B. McAlister has introduced another class of morphisms for inverse semigroups, called v-prehomomorphisms. For such a morphism $\theta : S \to T,$ instead of preserving the ...
Bumblebee's user avatar
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