b-lattice of nil-extensions of rectangular skew-rings
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MAITY, Sunil Kumar. b-lattice of nil-extensions of rectangular skew-rings. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 81-90. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848

b-lattice of nil-extensions of rectangular skew-rings

CZU: 512.55+512.64+514.1
MSC 2010: 16A78, 20M10, 20M07, 16Y60.

Pag. 81-90

Maity Sunil Kumar1, Chatterjee Rumpa2
 
1 University of Calcutta,
2 University of Burdwan
 
Disponibil în IBN: 25 august 2019


Rezumat

Every quasi completely regular semiring is a b-lattice of completely Archimedean semirings, i.e., a b-lattice of nil-extensions of completely simple semirings. In this paper we consider the semiring which is a b-lattice of nil-extensions of orthodox completely simple semirings.

Cuvinte-cheie
Completely simple semiring, completely Archimedean semiring, rectangular skewring, left skew-ring, orthodox, b-lattice, nil-extension

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