Precovering and Preenveloping Ideals

DOI10.1080/00927872.2014.903404zbMath1333.18013arXiv1304.7707OpenAlexW2053212382MaRDI QIDQ5256753

Furuzan Ozbek

Publication date: 19 June 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.7707

zbMATH Keywords

cotorsion theoryideal approximationprecover and preenvelopeset theoretic homological algebra

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (5)

Higher ideal approximation theory ⋮ Ideal cotorsion pairs over one point extensions ⋮ Ideal cotorsion theories in triangulated categories ⋮ Covering ideals of morphisms and module representations of the quiver \(\mathbb A_2\). ⋮ Powers of the phantom ideal

Cites Work

• Injective and flat covers, envelopes and resolvents
• Flat covers of modules
• Relative homological algebra
• The phantom cover of a module.
• Ideal approximation theory
• How To Make Ext Vanish
• Rings characterized by (pre)envelopes and (pre)covers of their modules^∗
• Coherent Rings and Fp -Injective Modules

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