The Functor $$S^{-1}_C()$$ and Its Relationship with Homological Functors $$T or_n$$ and $$\overline{EXT}^n $$

DOI10.1007/978-3-030-35256-1_14zbMath1443.16036OpenAlexW2997389523MaRDI QIDQ3294671

Mohamed Ben Fraj Ben Maaouia, Bassirou Dembele, Mamadou Sangharé

Publication date: 29 June 2020

Published in: Associative and Non-Associative Algebras and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-35256-1_14

zbMATH Keywords

ringmodulecategory of complexeshomological functors \(H^n\), \(\text{Tor}_n\) and \(\overline{\text{Ext}}^n\)localization functors \(s^{-1}()\) and \(S^{-1}_C()\)saturated multiplicative parttensor product functor

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Associative rings of fractions and localizations (16S85)

Cites Work

• Flat covers of complexes
• Hopfian objects, cohopfian objects in the category of complexes of left A−modules
• Localization in a Duo-Ring and Polynomials Algebra
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