Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Ascending chain conditions on principal left and right ideals for semidirect products of ordered semigroups
Authors: T. Changphas
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Abstract
An ordered semigroup S is said to satisfy the ascending chain condition for principal left ideals (respectively, principal right ideals) of S if there does not exist an infinite strictly ascending chain of principal left ideals (respectively, principal right ideals) of S. In this paper, the ascending chain condition on principal left and right ideals for semidirect products of ordered semigroups are considered. The results obtained extend the results on semigroups.Fulltext
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Contents
- On Latin squares of polynomially complete quasigroups and quasigroups generated by shifts
- Hom-Bol algebras
- Ascending chain conditions on principal left and right ideals for semidirect products of ordered semigroups
- On regular medial division algebras
- Contractions of quasigroups and Latin squares
- On 2-absorbing semimodules
- Strong forms of orthogonality for sets of frequency hypercubes
- A still shorter axiom for trimedial quasigroups
- Clifford congruences on perfect semigroups
- E-disjunctive semigroups and idempotent pure congruences
- Groups with the same orders and large character degrees as PGL(2,9)
- Coset diagrams of the action of a certain Bianchi group on PL(Fp)
- Automorphisms of abelian n-ary groups
- Free products of dimonoids
