On Injective MV-Modules

• Autorzy: Rajabali A. Borzooei , S. Saidi Goraghani
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

(MV, PMV)-algebra; MV-module; injective MV-module; essential extension

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2018
• Tom: 47
• Numer: 4

Daty

wydano

2018-12-30

Twórcy

autor

Rajabali A. Borzooei

autor

S. Saidi Goraghani

Identyfikatory

DOI

10.18778/0138-0680.47.4.04