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Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 4, Pages 414–421
DOI: https://doi.org/10.17516/1997-1397-2020-13-4-414-421 (Mi jsfu849) 		 
Algebraic geometry over Heyting algebras

Mahdiyeh Nouri

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
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DOI: https://doi.org/10.17516/1997-1397-2020-13-4-414-421
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.
Received: 06.04.2020
Received in revised form: 25.04.2020
Accepted: 16.05.2020
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: English
Citation: Mahdiyeh Nouri, “Algebraic geometry over Heyting algebras”, J. Sib. Fed. Univ. Math. Phys., 13:4 (2020), 414–421
Citation in format AMSBIB
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\by Mahdiyeh~Nouri
\paper Algebraic geometry over Heyting algebras
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 4
\pages 414--421
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