Semigroup action on groupoid ordered under co-order
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2019-02-26 14:20
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512.5+512.6+512.7 (4)
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ROMANO, Daniel Abraham. Semigroup action on groupoid ordered under co-order. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 299-308. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848

Semigroup action on groupoid ordered under co-order

CZU: 512.5+512.6+512.7
MSC 2010: 03F65, 06F99, 20M99

Pag. 299-308

Romano Daniel Abraham
 
International Mathematical Virtual Institute
 
 
Disponibil în IBN: 18 februarie 2019


Rezumat

In this paper we prove that if S is a commutative semigroup with apartness acting on an ordered groupoid G under co-order G, then there exists a commutative semigroup S, constructed by S, acting on the ordered groupoid (GS)=q under q, where (x; a)q q (y; b)q () bx G ay and q =  pUp -1, ((x; a); (y; b)) 2  () bx G ay for any (x; a); (y; b) 2 G  S.

Cuvinte-cheie
Bishop's constructive mathematics, Intuitionistic logic, semigroup with apartness, ordered groupoid under coorder, action, couasiorder