Displaying similar documents to “Strongly graded left FTF rings.”

Weak Baer modules over graded rings

Mark Teply, Blas Torrecillas (1998)

Colloquium Mathematicae

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In [2], Fuchs and Viljoen introduced and classified the B * -modules for a valuation ring R: an R-module M is a B * -module if E x t R 1 ( M , X ) = 0 for each divisible module X and each torsion module X with bounded order. The concept of a B * -module was extended to the setting of a torsion theory over an associative ring in [14]. In the present paper, we use categorical methods to investigate the B * -modules for a group graded ring. Our most complete result (Theorem 4.10) characterizes B * -modules for a strongly graded...

Right Utumi p.p.-rings

Ulrich Albrecht (2010)

Rendiconti del Seminario Matematico della Università di Padova

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Quasi-Frobenius quotient rings.

José Gómez Torrecillas, Blas Torrecillas Jover (1991)

Extracta Mathematicae

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Let R be an associative (not necessarily commutative) ring with unit. The study of flat left R-modules permits to achieve homological characterizations for some kinds of rings (regular Von Neumann, hereditary). Colby investigated in [1] the rings with the property that every left R-module is embedded in a flat left R-module and called them left IF rings. These rings include regular and quasi-Frobenius rings. Another useful tool for the study of non-commutative rings is the classical...

Isbell duality for modules.

Barr, Michael, Kennison, John F., Raphael, R. (2009)

Theory and Applications of Categories [electronic only]

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