Fuzzy k-Primary Decomposition of Fuzzy k-Ideal in a Semiring

In this paper, we establish that the Lasker–Noether theorem for a commutative ring may be generalized for a commutative semiring. We produce an example of an ideal in a Noetherian semiring which cannot be expressed as finite intersection of primary ideals of that semiring. But we manifest that if we...

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Bibliographic Details
Main Authors: S. Kar, S. Purkait, B. Davvaz
Format: Article
Language:English
Published: Tsinghua University Press 2015-12-01
Series:Fuzzy Information and Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1616865815000813