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Copure injective resolutions, flat resolvents and dimensions

Edgar E. Enochs, Jenda M. G. Overtoun (1993)

Commentationes Mathematicae Universitatis Carolinae

In this paper, we show the existence of copure injective preenvelopes over noetherian rings and copure flat preenvelopes over commutative artinian rings. We use this to characterize $n$ -Gorenstein rings. As a consequence, if the full subcategory of strongly copure injective (respectively flat) modules over a left and right noetherian ring $R$ has cokernels (respectively kernels), then $R$ is $2$ -Gorenstein.

Corrigendum to the paper " Quotient rings and one-sided primes".

John Dauns (1976)

Journal für die reine und angewandte Mathematik

Costable rings

Tomáš Kepka (1974)

Commentationes Mathematicae Universitatis Carolinae

Countably thick modules

Ali Abdel-Mohsen, Mohammad Saleh (2005)

Archivum Mathematicum

The purpose of this paper is to further the study of countably thick modules via weak injectivity. Among others, for some classes $ℳ$ of modules in $σ [M]$ we study when direct sums of modules from $ℳ$ satisfies a property $ℙ$ in $σ [M]$ . In particular, we get characterization of locally countably thick modules, a generalization of locally q.f.d. modules.

CS-modules and annihilator conditions.

Kamal, Mahmoud A., Menshawy, Amany M. (2003)

International Journal of Mathematics and Mathematical Sciences

Cyclic extensions and crossed-products

Szeto, George, Wong, Yuen-Fat (1983/1984)

Portugaliae mathematica