On injective and subdirectly irreducible S-posets over left zero posemigroups
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MOGHADDASI, Gholam-Reza, HADDADI, Mahdieh. On injective and subdirectly irreducible S-posets over left zero posemigroups. In: Quasigroups and Related Systems, 2016, vol. 24, nr. 1(35), pp. 109-116. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 24, Numărul 1(35) / 2016 / ISSN 1561-2848

On injective and subdirectly irreducible S-posets over left zero posemigroups
CZU: 512.54

Pag. 109-116

Moghaddasi Gholam-Reza1, Haddadi Mahdieh2
 
1 Hakim Sabzevari University,
2 Semnan University
 
 
Disponibil în IBN: 3 august 2016


Rezumat

The notion of a Cauchy sequence in an S-poset is a useful tool to study algebraic concepts, specially the concept of injectivity. This paper is concerned with the relations between injectivity and Cauchy sequences in the category of S-posets in which S is a left zero posemigroup. We characterize subdirectly irreducible S-posets over this posemigroup and by Birkhof's Representation Theorem we get a description of such S-posets.