Volume 9 (2021-2022)
Volume 8 (2020-2021)
Volume 7 (2019-2020)
Volume 6 (2018-2019)
Volume 5 (2017-2018)
Volume 4 (2016-2017)
Volume 3 (2015-2016)
Volume 2 (2014-2015)
Volume 1 (2013-2014)
1. Geometric Hypergroups

M. Al Tahan; B. Davvaz

Volume 9, Issue 2 , Winter and Spring 2022, , Pages 241-257

http://dx.doi.org/10.22044/jas.2021.9981.1493

Abstract
  The aim of this paper is to extend the notion of geometric groups to geometric hypergroups and to investigate the interaction between algebraic and geometric properties of hypergroups. In this regard, we first define a metric structure on hypergroups via word metric and present some examples on it by ...  Read More

2. ON DERIVATIONS OF PSEUDO-BL ALGEBRA

S. Rahnama; Seid M. Anvariyeh; S. Mirvakili; B. Davvaz

Volume 9, Issue 2 , Winter and Spring 2022, , Pages 299-322

http://dx.doi.org/10.22044/jas.2021.10532.1519

Abstract
  Pseudo-BL algebras are a natural generalization of BL-algebras and of pseudo-MV algebras.In this paper the notions of five different types of derivations on a \pbl\ as generalizations of derivations of a BL-algebra are introduced. Moreover, as an extension of derivations of a \pbl , the notions of $(\varphi ...  Read More

3. A GENERALIZATION OF PRIME HYPERIDEALS IN KRASNER HYPERRINGS

L. Kamali Ardekani; B. Davvaz

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

http://dx.doi.org/10.22044/jas.2019.6407.1318

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

4. HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS

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

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

http://dx.doi.org/10.22044/jas.2018.6969.1342

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

5. DIFFERENTIAL MULTIPLICATIVE HYPERRINGS

L. Kamali Ardekani; B. Davvaz

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

http://dx.doi.org/10.22044/jas.2014.299

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

6. 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

http://dx.doi.org/10.22044/jas.2013.167

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