- Tytuł:
- On Injective MV-Modules
- Autorzy:
-
Borzooei, Rajabali A.
Goraghani, S. Saidi - Tematy:
-
(MV, PMV)-algebra
MV-module
injective MV-module
essential extension - Pokaż więcej
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Powiązania:
- https://bibliotekanauki.pl/articles/749942.pdf Link otwiera się w nowym oknie
- Opis:
- 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.
- Dostawca treści:
- Biblioteka Nauki
Artykuł