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519.8 (171) |
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SM ISO690:2012 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 | ||||||
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CZU: 519.8 | ||||||
MSC 2010: 06F99 | ||||||
Pag. 155-164 | ||||||
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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. |
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Cuvinte-cheie S-quantale, nucleus, Conucleus, S-poset |
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