in this paper we have generalized the concepts of ,q-fuzzy ideals, ,q-fuzzy quasi-ideals and,q-fuzzy bi-ideals by introducing the concepts of   k ,q -fuzzy ideals,   k ,q -fuzzy quasiideals and   k ,q -fuzzy bi-ideals in ternary semigroups and several related properties are investigated. different characterizations of regular and weakly regular ternary semigroups b...

Let R be a G-graded ring and M be a G-graded R-module. In this article, we introduce the concept of graded weakly classical prime submodules and give some properties of such submodules.

In this paper we introduce the notion of intuitionistic fuzzy prime, strongly prime, semiprime bi-ideals in ternary semigroup and look for some of their related characteristics. Also here we introduce irreducible and strongly irreducible intuitionistic fuzzy bi-ideals in a ternary semigroup. AMS subject classification: 20N10, 20M12, 04A72.

As a generalization of the notion of prime element and semiprime element, we introduce the notion of weakly prime element and weakly semiprime element in lattice modules. Some characterization of weakly prime and weakly semiprime elements are obtained. Throughout this paper, L will be a lattice domain.

In this paper, we survey recent work on ternary Diophantine equations of the shape Axn + Byn = Czm for m ∈ {2, 3, n} where n ≥ 5 is prime. Our goal is to provide a simple procedure which, given A, B, C and m, enables us to decide whether techniques based on the theory of Galois representations and modular forms suffice to ensure that corresponding ternary equations lack nontrivial solutions in ...