Let $G$ be a monoid with identity $e$. In this paper, first we introduce the notions of $G$-graded hyperrings, graded hyperideals and graded hyperfields in the sense of Krasner hyperring $R$. Also, we define the notion of a greded $R$-hypermodules and some examples are presented. Then we investigate graded maximal, graded prime and graded primary hyperideals of a graded hyperring $R$. Finally, ...

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

In this paper, our aim is to generalize and extend the Hopkins-Levitzki theorem from noncommutative rings Krasner hyperring. Also, we prove that a hyperring R Noetherian if only it satisfies ascending chain conditions of prime hyperideals.