Let R be a Γ-hyperring and M be an Γ-hypermodule over R. We introduce and study fuzzy RΓ-hypermodules. Also, we associate a Γhypermodule to every fuzzy Γ-hypermodule and investigate its basic properties.

An M-polysymmetrical hyperring $(R,+,cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,cdot )$ is a semigroup and $cdot$ is bilaterally distributive over $+$. In this paper, we introduce the concept of hyperideals of an M-polysymmetrical hyperring and by using this concept, we construct an ordinary quotient ring. Finally, the fundamental theorem of homomorphi...

Inspired by the concept of regular local rings in classical algebra, this article we initiate study parameter elements a commutative Noetherian hyperring. These provide deep connection between dimension hyperring and its primary hyperideals. Then, our focusses on R, with maximal hyperideal M, having property that R is equal to vectorial hyperspace MM2 over hyperfield RM. Finally, using hyperrin...

In this note we introduce a new equivalence relation θ∗ on a (semi)hyperring R and we show that it is strongly regular. Also we prove that, R/θ∗, the equivalence class of this equivalence relation under usual operations consists a commutative (semi-)ring. Finally we introduce the notion of θ-parts of hyperrings and investigate the important properties of them. Mathematics Subject Classification...

Purpose The purpose of this study was to examine the effect of a Mind-Body Medicine program for enhancing self-care and well-being among first year medical students. Depression and anxiety are common among medical students (West et al, 2011) and physicians (Krasner et al, 2009). Further, distress among medical students is associated with poor patient care (Dyrbye et al, 2010; Krasner et al, 200...

The class of constacyclic codes plays an important role in the theory or error-correcting codes. They are considered as a remarkable generalization cyclic In this paper, we study over finite Krasner hyperfields which characterize them by their generating polynomial. Moreover, dual these finding parity check