On semigroups that are semilattices of groups
نویسندگان
چکیده
منابع مشابه
On semilattices of groups whose arrows are epimorphisms
A q partial group is defined to be a partial group, that is, a strong semilattice of groups S= [E(S);Se,φe, f ] such that S has an identity 1 and φ1,e is an epimorphism for all e ∈ E(S). Every partial group S with identity contains a unique maximal q partial group Q(S) such that (Q(S))1 = S1. This Q operation is proved to commute with Cartesian products and preserve normality. With Q extended t...
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Let TX be the full transformation semigroups on the set X. For an equivalence E on X, let TE(X) = {α ∈ TX : ∀(x, y) ∈ E ⇔ (xα, yα) ∈ E}It is known that TE(X) is a subsemigroup of TX. In this paper, we discussthe Green's *-relations, certain *-ideal and certain Rees quotient semigroup for TE(X).
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1971
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1971.101035