Volume 10 (2022-2023)
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)
ON DERIVATIONS OF PSEUDO-BL ALGEBRA

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

Volume 9, Issue 2 , January 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

HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS

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

Volume 7, Issue 1 , September 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

IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS

S. H. Ghazavi; S. M. Anvariyeh; S. Mirvakili

Volume 3, Issue 2 , January 2016, , Pages 109-125

http://dx.doi.org/10.22044/jas.2015.611

Abstract
  In this paper, we attempt to investigate the connection between various types of ideals (for examples $(m, n)$-ideal, bi-ideal, interior ideal, quasi ideal, prime ideal and maximal ideal) of an ordered semigroup $(S,cdot ,leq)$ and the correspond hyperideals of its EL-hyperstructure $(S,*)$ (if exists). ...  Read More