Some results in types of extensions of MV-algebras

Fereshteh Forouzesh, Farhad Sajadian, Mahta Bedrood · Publications de l Institut Mathematique · 2019

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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