On nuclei and conuclei of S-quantales
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519.8 (171)
Cercetări operaționale (OR) teorii şi metode matematice (168)
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ZHANG, Xiaohon, TINGYU, Li. On nuclei and conuclei of S-quantales. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 1(37), pp. 155-164. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 25, Numărul 1(37) / 2017 / ISSN 1561-2848

On nuclei and conuclei of S-quantales
CZU: 519.8
MSC 2010: 06F99

Pag. 155-164

Zhang Xiaohon, Tingyu Li
 
School of Mathematical Sciences South China Normal University
 
 
Disponibil în IBN: 16 august 2017


Rezumat

S-quantales have been proved to be injectives in the category of S-posets with Ssubmultiplicative order-preserving mappings as morphisms. In this work, algebraic investigations on S-quantales are presented. A representation theorem of an S-quantale according to nuclei is obtained, quotients of an S-quantale with respect to nuclei and congruences are completely studied. Simultaneously, the relationship between S-subquantales and conuclei of an S-quantale is established.

Cuvinte-cheie
S-quantale, nucleus, Conucleus, S-poset