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Chain Conditions on Semirings

T. Mukherjee, +2 more
- 01 Jan 1996 - 
- Vol. 19, Iss: 2, pp 321-326
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TLDR
In this article, the class of semirings S for which the semiirings of square matrices Mn(S) over S are (left) k-artinian is characterized.
Abstract
In this paper we characterize the class of semirings S for which the semirings of square matrices Mn(S) over S are (left) k-artinian. Also an analogue of the Hilbert basis theorem for semirings is obtained.

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Journal ArticleDOI

On fuzzy h -ideals in hemirings

TL;DR: The fuzzy setting of a left h-ideal in a hemiring is constructed, and basic properties are investigated.
Journal ArticleDOI

On properties of fuzzy left h-ideals in hemirings with t-norms

TL;DR: The notion of T-fuzzy left h-ideals in a hemiring is introduced and basic properties are investigated, and the notion of a finite-valued T-magnifying-h-ideal is introduced, and its characterization is given.
Journal ArticleDOI

On T-fuzzy ideals in nearrings

TL;DR: The notion of fuzzy ideals in nearrings with respect to a t-norm T is introduced and some properties of T-fuzzy ideals of the quotient nearrings are considered.
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Study of Noetherian Γ-Semirings via Operator Semirings

TL;DR: In this paper, the authors studied Noetherian Γ-semirings and obtained Cohen's theorem for weak primary decomposition for a special class of Γ semirings.
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Morita invariants of semirings-II

TL;DR: In this paper, the counterparts of most of the results on Morita invariants of semirings for semimodules are investigated and the lattice isomorphisms between the s...
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