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All Journal Journal of the Indonesian Mathematical Society
Bijan Davvaz
Yazd University Iran
Mathematics

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 1 
Star Projective and Star Injective Hv-Modules A. Mortazavi; Bijan Davvaz
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.490.79-94

Abstract

In this paper, we introduce the concepts of product and directsum, star projective and star injective in $H_v$-modules. Weinvestigate generalizations of some notions in homological algebrato prove the five lemma and star projective and star injectivetheorems in $H_v$-modules. We determine  equivalent conditions for split sequences in $H_v$-modules and  present some related results.
Study of Properties of Several Kinds of Hyperideals in Ordered Ternary Semihypergroups Thawhat Changphas; Bijan Davvaz
Journal of the Indonesian Mathematical Society VOLUME 27 NUMBER 2 (July 2021)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.27.2.965.228-239

Abstract

A non-empty subset S together with an associative function f from S × S×S into the family of all non-empty subsets of S is called a ternary semihypergroup. In this paper, we consider a semihypergroup (S, f) besides a binary relation ≤, where ≤ is a partial order relation on S such that satisfies the monotone condition. This structure is called an ordered ternary semihypergroup. We introduce and investigate the notions of bi-hyperideal and quasi-hyperideal in ordered ternary semihyperroups. In particular, we prove that an ordered ternary semihypergroup is left and right simple if and only if it does not contain proper bi-hyperideals
Co-Authors A. Mortazavi Thawhat Changphas