Glasnik matematički, Vol. 42 No. 2, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.2.05
The ideal theory in the quotients of semirings
Shahabaddin Ebrahimi Atani
; Department of Mathematics, University of Guilan, P.O. Box 1914, Rasht, Iran
Abstract
Since the theory of ideals plays an important role in the theory of quotient semirings, in this paper, we will make an intensive study of the notions of Noetherian, Artinian, prime, primary, weakly primary and k-maximal ideals in commutative quotient semirings. The bulk of this paper is devoted to stating and proving analogues to several well-known theorems in the theory of the residue class rings.
Keywords
Semiring; k-ideals; Q-ideals; quotient semiring
Hrčak ID:
17942
URI
Publication date:
11.12.2007.
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