## Fuzzy subrings and ideals redefined.(English)Zbl 0878.16025

Summary: $$(\varepsilon, \varepsilon\vee q)$$-fuzzy subrings and ideals of a ring are defined. The concepts of $$(\varepsilon, \varepsilon\vee q)$$-fuzzy semiprime, prime, semiprimary, primary and maximal ideals are introduced and characterization of such fuzzy ideals are obtained. $$(\varepsilon, \varepsilon\vee q)$$-fuzzy cosets determined by $$(\varepsilon, \varepsilon\vee q)$$-fuzzy ideals and $$(\varepsilon, \varepsilon\vee q)$$-fuzzy radicals of $$(\varepsilon, \varepsilon\vee q)$$-fuzzy ideals are discussed.

### MSC:

 16Y99 Generalizations 16D25 Ideals in associative algebras
Full Text:

### References:

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