Open AccessSome results in types of extensions of MV-algebras
Author(s) -
Fereshteh Forouzesh,
Farhad Sajadian,
Mahta Bedrood
Publication year - 2019
Publication title -
publications de l'institut mathématique
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.246
H-Index - 17
eISSN - 1820-7405
pISSN - 0350-1302
DOI - 10.2298/pim1919161f
Subject(s) - homeomorphism (graph theory) , mathematics , prime (order theory) , topology (electrical circuits) , type (biology) , pure mathematics , extension (predicate logic) , inverse , algebra over a field , discrete mathematics , computer science , combinatorics , ecology , geometry , biology , programming language
We introduce the notions of zero divisor and extension, contraction of ideals in MV-algebras and several interesting types of extensions of MV-algebras. In particular, we show what kinds of extensions MV-algebras will lead in a homeomorphism of the spectral topology and inverse topology on minimal prime ideals. Finally, we investigate the relations among types of extensions of MV-algebras.