Moroccan Journal of Algebra and Geometry with Applications
Arithmetical rank for some class of commutative rings
Elhousseine Eddamane and Mohamed Aqalmoun
Department of Mathematics, Faculty of sciences, Moulay Ismail university, Meknès, Morocco
Department of Mathematics, Higher Normal School, Sidi Mohamed Ben Abdellah University, Fez, Morocco
Pages 402-408 | Received 20 June 2022, Accepted 22 September 2022, Published 06 December 2022
Abstract
In this paper, we focus on the arithmetical rank of an ideal for some class of commutative rings issued from some constructions such as fiber product, amalgamation along an ideal and trivial ring extension.
Keywords: Fiber product, arithmetical rank, amalgamated duplication, trivial ring extension, Noetherian spectrum, radically principal.
MSC numbers: Primary 13A15 ; Secondary 13B02, 13B10.
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