Retractive nil-extensions of completely simple semirings
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Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (242)
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MAITY, Sunil Kumar, CHATTERJEE, Rumpa, GHOSH, Rituparna. Retractive nil-extensions of completely simple semirings. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 1(39), pp. 103-108. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 26, Numărul 1(39) / 2018 / ISSN 1561-2848

Retractive nil-extensions of completely simple semirings

CZU: 512.556+517.986.2
MSC 2010: 16A78,20M10,20M07.

Pag. 103-108

Maity Sunil Kumar1, Chatterjee Rumpa2, Ghosh Rituparna3
 
1 University of Calcutta,
2 University of Burdwan,
3 Heritage Institute of Technology
 
 
Disponibil în IBN: 17 august 2018


Rezumat

A semiring S is said to be a quasi completely regular semiring if for any α { S there exists a positive integer n such that na is completely regular. The study of completely Archimedean semirings have shown that completely Archimedean semirings are nil-extensions of completely simple semirings. In this paper we introduce retractive nil-extensions of completely simple semirings and establish a relation with completely Archimedean semirings.

Cuvinte-cheie
dealextension, nil-extension, completelyArchimedeansemiring, completelysim-plesemiring, retractivenil-extension, b-latticeofskew-rings, quasiskew-ring