Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din Moldova"RO EN
On classes of regularity in an ordered semigroup
Authors: T. Changphas
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Abstract
Let m, n be nonnegative integers. An element a in an ordered semigroup (S,<) is said to be (m,n)-regular if there exists x in S such that a< amxan. This paper gives necessary and sufficient conditions for the set of all (m,n)-regular elements of S to be a subsemigroup of S. The results obtained extend the results on semigroups without order.Fulltext
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Contents
- Bipolar fuzzy soft Lie algebras
- Soft intersection Lie algebras
- A study of n-subracks
- Weak hyper residuated lattices
- On classes of regularity in an ordered semigroup
- OD-Characterization of almost simple groups
- Zariski-topology for co-ideals of commutative semirings
- Shortest single axioms with neutral element for groups of exponent 2 and 3
- On 0-minimal (0,2)-bi-ideals
- Intra-regular, left quasi-regular and semisimple fuzzy ordered semigroups
- Nuclei and commutants of C-loops
- Simple ternary semigroups
