Open AccessOn Injective MV-Modules
Author(s) -
Rajab Ali Borzooei,
Simin 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.