On Homological Dimensions of S-Acts With Unique Zero

In this paper, we introduce homological dimensions of S-acts for a commutative monoid S with a zero element and analyze their properties. We define projective (flat) dimension by means of double-arrow complexes and construct an injective resolution of an S-act. It is shown that the flat dimension of...

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Bibliographic Details
Main Authors: Elahe Nafarieh Talkhooncheh, Hamid Rasouli, Maryam Salimi, Elham Tavasoli, Abolfazl Tehranian
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/jom/5590978
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