1. The M[-] and [M] functors and five short lemma in Hv-modules.
- Author
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VAZIRI, Yaser, GHADIRI, Mansour, and DAVVAZ, Bijan
- Subjects
- *
GORENSTEIN rings , *AZUMAYA algebras , *COMMUTATIVE rings , *MODULES (Algebra) , *ASSOCIATIVE algebras , *RING theory - Abstract
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 ε* , exact sequences in Hv -modules are defined. In this paper, we introduce the Hv -module M[A] and determine its heart and the connection between equivalence relations ε* M[A] and ε* A . Moreover, we define the M[-] and -[M] functors and investigate the exactness and some concepts related to them. Finally, we prove the five short lemma in Hv -modules. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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