2 апр. 2023 г. · A totally ordered semi-group all strictly-positive (strictly-negative) elements of which belong to the same Archimedean class.

Furthermore, the components Sa are all Archimedean semigroups. An Archimedean semigroup is one where given any pair of elements x, y , there exists an element z ...

22 мар. 2013 г. · Archimedean semigroup. Let S S be a commutative semigroup. We say an element x x divides an element y y , written x∣y x ∣ y , if there is an ...

Introduction. By an ordered semigroup we mean a semigroup with a simple order which is compatible with the semigroup operation. Several authors, for.

Introduction. A commutative semigroup S is archimedean if and only if for any ordered pair of elements, (a, b), of S there.

The main theorem of this paper is the following: a finitely generated, commutative, archimedean, nonpotent semigroup is power joined. The main theorem is ...

A commutative Archimedean semigroup S without idempotent is homomorphic onto a non-trivial abelian group. Proof. For a ∈ S, two relations ηa and ηa are defined ...

An ordered semigroup S is called a semilattice of archimedean semi- groups (resp. complete semilattice of archimedean semigroups) if there exists a ...

An N-semigroup is a cancellative, Archimedean semigroup without idempotent elements. ... If S is a finitely generated MJ-semigroup, then S is an Archimedean.

20 апр. 2018 г. · We characterize the ordered semigroups that are archimedean and contain an intra-regular element, showing that they are exactly nil ...