The structure of serial rings

DOI10.2140/pjm.1971.36.109zbMath0215.38401OpenAlexW2165677736MaRDI QIDQ2545734

David Eisenbud, Phillip Griffith

Publication date: 1971

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

Full work available at URL: https://doi.org/10.2140/pjm.1971.36.109

Mathematics Subject Classification ID

Other classes of modules and ideals in associative algebras (16D80) Artinian rings and modules (associative rings and algebras) (16P20) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (39)

A note on rings having only a finite number of cyclic indecomposable modules ⋮ Serial rings with right Krull dimension one ⋮ On sums of uniserial modules ⋮ Serial rings with right Krull dimension one. II ⋮ A note on indecomposable modules ⋮ Local rings whose modules are almost serial ⋮ Almost uniserial rings and modules. ⋮ QUASI-MORPHIC RINGS ⋮ Algebras of bounded finite dimensional representation type ⋮ Commutative rings whose proper ideals are serial ⋮ Indecomposable modules over semiperfect rings ⋮ Serial coalgebras. ⋮ Endomorphism rings, power series rings, and serial modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Morphic and principal-ideal group rings. ⋮ Virtually homo-uniserial modules and rings ⋮ Global dimension of Noetherian serial rings. ⋮ Serial rings and finitely presented modules ⋮ Localization and completion of fbn hereditary rings ⋮ Krull dimension in serial rings ⋮ Virtually uniserial modules and rings ⋮ On \(\Sigma\)-\(q\) rings. ⋮ Pure semisimple categories and rings of finite representation type ⋮ Semidistributive modules ⋮ Rings whose injective hulls are dual square free ⋮ Serial rings ⋮ Decomposition of modules over right uniserial rings ⋮ Rings characterized by their right ideals or cyclic modules ⋮ On certain chain rings and their groups of units ⋮ On Rings whose Left Modules are Direct Sums of Finitely Generated Modules ⋮ Serial rings and subdirect products ⋮ Serial rings and direct decompositions ⋮ Rings of finite representation type and modules of finite Morley rank ⋮ Zur Brauer-Thrall-Vermutung für Ringe ⋮ On checkable codes in group algebras ⋮ On 1-semiregular and 2-semiregular rings ⋮ Regular over-orders of lattice-finite rings and the Krull-Schmidt property. ⋮ A new characterisation of hereditary PI rings

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