On Injective MV-Modules | Zendy

Rajabali Borzooei | Zendy; S. Saidi Goraghani | Zendy

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On Injective MV-Modules

Author(s) -

Rajabali Borzooei,

S. Saidi Goraghani

Publication year - 2018

Publication title -

bulletin of the section of logic

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.225

H-Index - 13

eISSN - 2449-836X

pISSN - 0138-0680

DOI - 10.18778/0138-0680.47.4.04

Subject(s) - injective function , injective module , homomorphism , extension (predicate logic) , mathematics , ideal (ethics) , module , divisible group , pure mathematics , monomorphism , discrete mathematics , computer science , programming language , g module , philosophy , abelian group , epistemology , elementary abelian group

In this paper, by considering the notion of MV-module, which is the structure that naturally correspond to lu-modules over lu-rings, we study injective MV-modules and we investigate some conditions for constructing injective MV-modules. Then we define the notions of essential A-homomorphisms and essential extension of A-homomorphisms, where A is a product MV-algebra, and we get some of there properties. Finally, we prove that a maximal essential extension of any A-ideal of an injective MV-module is an injective A-module, too.

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