The M[--] and --[M] functors and five short lemma in $H_v$-modules | Zendy

Yaser VAZIRI | Zendy; M. Ghadiri | Zendy; Bijan Davvaz | Zendy

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The M[--] and --[M] functors and five short lemma in $H_v$-modules

Author(s) -

Yaser VAZIRI,

M. Ghadiri,

Bijan Davvaz

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1502-75

Subject(s) - functor , lemma (botany) , mathematics , axiom , equivalence relation , equivalence (formal languages) , class (philosophy) , connection (principal bundle) , pure mathematics , discrete mathematics , combinatorics , algebra over a field , computer science , geometry , ecology , poaceae , artificial intelligence , biology

The largest class of multivalued systems satisfying the module-like axioms are the Hv-modules. The main tools concerning the class of Hv-modules with the ordinary modules are the fundamental relations. Based on the relation " , exact sequences in Hv-modules are dened. In this paper, we introduce the Hv-module M(A) and determine its heart and the connection between equivalence relations " M(A) and " A. Moreover, we dene the M( ) and (M) functors and investigate the exactness and some concepts related to them. Finally, we prove the ve short lemma in Hv-modules.

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