Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset | Zendy

Manal Ghanem | Zendy

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Two New Types of Rings Defined by Using a Translational Invariant Fuzzy Subset

Author(s) -

Manal Ghanem

Publication year - 2010

Publication title -

advances in fuzzy systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.38

H-Index - 19

eISSN - 1687-711X

pISSN - 1687-7101

DOI - 10.1155/2010/258947

Subject(s) - invariant (physics) , fuzzy logic , ring (chemistry) , pure mathematics , mathematics , noncommutative ring , von neumann regular ring , commutative ring , commutative algebra , local ring , commutative property , computer science , artificial intelligence , mathematical physics , chemistry , organic chemistry

We use a translational invariant fuzzy subset of a ring to define two new types of commutative rings namely, -presimplifiable and -associate rings. We present some results of these rings. The interest of these results is that most of them are mirrors of corresponding results of presimplifiable and associate rings in classical ring theory

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