Semirings which are distributive lattices of weakly left k-Archimedean semirings
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MONDAL, Tapas Kumar. Semirings which are distributive lattices of weakly left k-Archimedean semirings. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 2(42), pp. 309-316. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 2(42) / 2019 / ISSN 1561-2848

Semirings which are distributive lattices of weakly left k-Archimedean semirings

CZU: 512.55+512.556+519.6

Pag. 309-316

Mondal Tapas Kumar
 
Department of Mathematics Dr. Bhupendra Nath Dutta Smriti Mahavidyalaya
 
 
Disponibil în IBN: 25 martie 2020


Rezumat

We introduce a binary relation l — ! on a semiring S, and generalize the notion of left k-Archimedean semirings and introduce weakly left k-Archimedean semirings, via the relation l — !. We also characterize the semirings which are distributive lattices of weakly left k-Archimedean semirings.