The existence of envelopes

Edgar E. Enochs; Overtoun M. G. Jenda; Jinzhong Xu

Displaying similar documents to “The existence of envelopes”

Copure injective resolutions, flat resolvents and dimensions

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

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.

Characterizations of some rings with $𝒞$ -projective, $𝒞$ -(FP)-injective and $𝒞$ -flat modules

Xiao Guang Yan, Xiao Sheng Zhu (2011)

Czechoslovak Mathematical Journal

Similarity:

Let $R$ be a commutative ring and $𝒞$ a semidualizing $R$ -module. We investigate the relations between $𝒞$ -flat modules and $𝒞$ -FP-injective modules and use these modules and their character modules to characterize some rings, including artinian, noetherian and coherent rings.

Pure closures

Ladislav Bican (1972)

Czechoslovak Mathematical Journal

Similarity:

Displaying similar documents to “The existence of envelopes”

Copure injective resolutions, flat resolvents and dimensions

Characterizations of some rings with 𝒞 -projective, 𝒞 -(FP)-injective and 𝒞 -flat modules

Pure closures

Characterizations of some rings with $𝒞$ -projective, $𝒞$ -(FP)-injective and $𝒞$ -flat modules