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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2020 Volume 13, Issue 4, Pages 414–421 (Mi jsfu849)

Algebraic geometry over Heyting algebras

Mahdiyeh Nouri

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

Abstract: In this article, we study the algebraic geometry over Heyting algebras and we investigate the properties of being equationally Noetherian and $q_{\omega}$-compact over such algebras.

Keywords: universal algebraic geometry, systems of equations, radicals, Zariski topology, Heyting algebras, equationally Noetherian algebras, $q_{\omega}$-compact algebras.

UDC: 512.7

Received: 06.04.2020
Received in revised form: 25.04.2020
Accepted: 16.05.2020

Language: English

DOI: 10.17516/1997-1397-2020-13-4-414-421



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