Characterization of inverse ordered semigroups by their ordered idempotents and bi-ideals
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2021-10-09 11:43
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512.532.5+512.533.5 (1)
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HANSDA, Kalyan, JAMADAR, Amlan. Characterization of inverse ordered semigroups by their ordered idempotents and bi-ideals. In: Quasigroups and Related Systems, 2020, vol. 28, nr. 1(43), pp. 77-88. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 28, Numărul 1(43) / 2020 / ISSN 1561-2848

Characterization of inverse ordered semigroups by their ordered idempotents and bi-ideals

CZU: 512.532.5+512.533.5

Pag. 77-88

Hansda Kalyan, Jamadar Amlan
 
Visva Bharati University
 
 
Disponibil în IBN: 1 iunie 2020


Rezumat

We prove that an ordered semigroup is complete semilattice of group-like ordered semigroups if and only if it is completely regular and inverse. The relation between principal biideals generated by two inverses of an element in an inverse ordered semigroup has been presented here. Furthermore we bring the opportunity to study complete regularity on an inverse ordered semigroups by their bi-ideals.