Some results in types of extensions of MV-algebras | Zendy

Fereshteh Forouzesh | Zendy; Farhad Sajadian | Zendy; Mahta Bedrood | Zendy

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Some 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 mathematique

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.

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