On idempotent ordered semigroups
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MALLICK, Susmita, HANSDA, Kalyan. On idempotent ordered semigroups. In: Quasigroups and Related Systems, 2024, vol. 32, nr. 1, pp. 59-67. ISSN 1561-2848. DOI: https://doi.org/10.56415/qrs.v32.06
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Quasigroups and Related Systems
Volumul 32, Numărul 1 / 2024 / ISSN 1561-2848

On idempotent ordered semigroups

DOI:https://doi.org/10.56415/qrs.v32.06
CZU: 512.532.5
MSC 2010: 20M10, 06F05.

Pag. 59-67

Mallick Susmita, Hansda Kalyan
 
Department of Mathematics, Visva Bharati University
 
 
Disponibil în IBN: 23 aprilie 2024


Rezumat

An element e of an ordered semigroup (S; ;6) is called an ordered idempotent if e 6 e2. We call an ordered semigroup S idempotent ordered semigroup if every element of S is an ordered idempotent. Every idempotent semigroup is a complete semilattice of rectangular idempotent semigroups and in this way we arrive to many other important classes of idempotent ordered semigroups.

Cuvinte-cheie
ordered idempotent, idempotent ordered semigroup, rectangular idempotent ordered semigroup normal idempotent ordered semigroup