When does the rational torsion split off for finitely generated modules.

DOI10.1007/S10468-009-9144-7zbMath1211.16024OpenAlexW2006008249MaRDI QIDQ838967

Miodrag Cristian Iovanov

Publication date: 1 September 2009

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9144-7

zbMATH Keywords

torsion theoriescoalgebrascomodulesrational modulessplitting property

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Coalgebras and comodules; corings (16T15)

Related Items (8)

Commutative non-Noetherian rings with the diamond property ⋮ Triangular matrix coalgebras and applications ⋮ On two conjectures of Faith. ⋮ Semiartinian profinite algebras have nilpotent Jacobson radical. ⋮ SYMMETRY FOR COMODULE CATEGORIES ⋮ On the bijectivity of the antipode and serial quantum groups ⋮ On extensions of rational modules. ⋮ Infinite dimensional serial algebras and their representations

Cites Work

• The splitting problem for coalgebras.
• The splitting problem for coalgebras: a direct approach.
• Chain and distributive coalgebras.
• On a generalization of the Hopf fibration. I
• Serial coalgebras.
• Co-Frobenius coalgebras.
• Characterisation of PF rings by the Finite Topology on duals of R-Modules
• The Torsion Submodule of A Cyclic Module Splits Off
• Modules Over Dedekind Rings and Valuation Rings
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