1. A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

L. Kamali Ardekani; B. Davvaz

Volume 7, Issue 2 , Winter and Spring 2020, , Pages 205-216

Abstract
  In this paper, ‎we extend the notion of 2-absorbing ideal on rings to Krasner hyperrings. In fact, we give a characterization of new generalization of prime hyperideals in Krasner hyperrings by introducing 2-absorbing hyperideals‎. ‎We present some illustrative examples. Also, we study fundamental ...  Read More

2. HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS

M. A. Madani; S. Mirvakili; B. Davvaz

Volume 7, Issue 1 , Summer and Autumn 2019, , Pages 33-50

Abstract
  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 ...  Read More

3. DIFFERENTIAL MULTIPLICATIVE HYPERRINGS

L. Kamali Ardekani; B. Davvaz

Volume 2, Issue 1 , Summer and Autumn 2014, , Pages 21-35

Abstract
  There are several kinds of hyperrings, for example, Krasnerhyperrings, multiplicative hyperring, general hyperrings and$H_v$-rings. In a multiplicative hyperring, the multiplication isa hyperoperation, while the addition is a binary operation. In this paper, the notion of derivation on multiplicative ...  Read More

4. f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS

L. Kamali Ardakani; Bijan Davvaz

Volume 1, Issue 1 , Summer and Autumn 2013, , Pages 11-31

Abstract
  Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations ...  Read More