On nuclei and conuclei of S-quantales

Zhang Xiaohon; Tingyu Li

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711

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2020-10-20 20:41

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similare conform CZU

519.8 (173)

Исследование операций (170)

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

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

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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.

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

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