On certain properties and invariants of graded rings and modules

DOI10.1007/s10013-020-00458-4zbMath1481.13006arXiv2008.11237OpenAlexW3080877065MaRDI QIDQ2244704

Fred Rohrer

Publication date: 12 November 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11237

zbMATH Keywords

graded modulegraded ringcoarsening functordegree restriction functor

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Principal ideal rings (13F10) Graded rings (13A02) Homological dimension (category-theoretic aspects) (18G20) Injective and flat modules and ideals in commutative rings (13C11)

Cites Work

• Graded integral closures
• Twisted semigroup algebras
• Some constructions over graded rings: Applications
• When are induction and coinduction functors isomorphic?
• Methods of graded rings.
• Sur quelques points d'algèbre homologique
• The Category of Graded Modules.
• Graded change of ring
• Simple graded rings
• Change of grading, injective dimension and dualizing complexes
• Coarsenings, injectives and Hom functors
• Categories and Sheaves
• A Module is Flat if and Only if its Character Module is Injective
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