The notion of an interval-valued (∈,∈ ∨q)-fuzzy subring(ideal,prime) in ring is introduced and their characterizations are investigated. Mathematics Subject Classification: 03E72,16D25

In this paper the concept of the extensions of intuitionistic fuzzy ideals in a semigroup has been extended to a Γ-Semigroups. Among other results characterization of prime ideals in a Γ-Semigroups in terms of intuitionistic fuzzy ideal extension has been obtained.

In this paper, some types of fuzzy filters a strong Sheffer stroke non-associative MV-algebra (for short, NMV-algebra) are introduced. By presenting new properties filters, we define prime filter in algebraic structure. Then (prime) NMV-algebra determined and features proved. Finally, built quotient by filter.

We find the nonabelian finite simple groups with order prime divisors not exceeding 1000. More generally, we determine the sets of nonabelian finite simple groups whose maximal order prime divisor is a fixed prime less than 1000. Our results are based on calculations in the computer algebra system GAP.

In this paper the concept of the extension of fuzzy h-ideals in Γ-hemiring is introduced and some of its properties are investigated. Specially we have studied the extension of prime fuzzy h-ideals in Γ-hemirings and gave its characterization. 2010 AMS Classification: 03E72