In this note, we present algorithms to deal with finite near-rings, the appropriate algebraic structure to study non-linear functions on finite groups. Just as rings (of matrices) operate on vector spaces, near-rings operate on groups. In our approach, we have developed efficient algorithms for a variety of problems that involve the structure of the operation of a near-ring on a group. From thi...

Real-world data is often partial, uncertain, or incomplete. Decision-making based on as such can be addressed by fuzzy sets and related systems. This article studies the intuitionistic multi-fuzzy sub-near rings Intuitionistic ideals of near rings. It presents some elementary operations relations defined these structures. The concept level subsets support ring also presented. looks into demonst...

Matrix rings are prominent in abstract algebra. In this paper we give an overview of the theory matrix near-rings. A near-ring differs from a ring that it does not need to be abelian and one distributive laws hold general. We introduce two ways which near-rings can defined discuss structure each. One is as given by Beildeman other Meldrum. his normal arrays under operation multiplication additi...

we show  that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. as aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. this generalizes and simplifies a result of  dung and   smith. as another consequen...