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Minimal prime ideals of skew polynomial rings and near pseudo-valuation rings

Vijay Kumar Bhat (2013)

Czechoslovak Mathematical Journal

Let $R$ be a ring. We recall that $R$ is called a near pseudo-valuation ring if every minimal prime ideal of $R$ is strongly prime. Let now $σ$ be an automorphism of $R$ and $δ$ a $σ$ -derivation of $R$ . Then $R$ is said to be an almost $δ$ -divided ring if every minimal prime ideal of $R$ is $δ$ -divided. Let $R$ be a Noetherian ring which is also an algebra over $ℚ$ ( $ℚ$ is the field of rational numbers). Let $σ$ be an automorphism of $R$ such that $R$ is a $σ (*)$ -ring and $δ$ a $σ$ -derivation of $R$ such that $σ (δ (a)) = δ (σ (a))$ for all $a \in R$ . Further, if for any...

Mittag-Leffler modules and semi-hereditary rings

Ulrich Albrecht, Alberto Facchini (1996)

Rendiconti del Seminario Matematico della Università di Padova

Mittag-Leffler modules, reduced products, and direct products

Alberto Facchini (1991)

Rendiconti del Seminario Matematico della Università di Padova

Modèle de Whittaker et ideaux primitifs complètement premiers dans les algèbres enveloppantes des algèbres de Lie semisimples complexes II.

C. Moeglin (1988)

Mathematica Scandinavica

Module classifying functors

John Dauns (1992)

Czechoslovak Mathematical Journal

Moduled categories and adjusted modules over traced rings [Book]

Daniel Simson (1990)

Modules.

Cockett, J. R. B., Koslowski, J., Seely, R. A. G., Wood, R. J. (2003)

Theory and Applications of Categories [electronic only]

Modules commuting (via Hom) with some colimits

Robert El Bashir, Tomáš Kepka, Petr Němec (2003)

Czechoslovak Mathematical Journal

For every module $M$ we have a natural monomorphism $Ψ : \underset{i \in I}{∐} {H o m}_{R} (M, A_{i}) \to {H o m}_{R} (M, \underset{i \in I}{∐} A_{i})$ and we focus our attention on the case when $Ψ$ is also an epimorphism. Some other colimits are also considered.

Modules commuting (via Hom) with some limits

Robert El Bashir, Tomáš Kepka (1998)

Fundamenta Mathematicae

For every module M we have a natural monomorphism $Φ : ∐_{i \in I} H o m_{R} (A_{i}, M) \to H o m_{R} (\prod_{i \in I} A_{i}, M)$ and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.