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The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local cohomology...

Medial rings and an associated radical

Gary Birkenmeier, Henry E. Heatherly (1990)

Czechoslovak Mathematical Journal

Minimal and maximal ideals in rings with involution.

Birkenmeier, Gary F., Groenewald, Nico J., Heatherly, Henry E. (1997)

Beiträge zur Algebra und Geometrie

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...

More on matrix near-rings.

Dumitru, Maria (2009)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

More on Morita contexts for near-rings.

Ştefănescu, Mirela, Dumitru, Mariana (2002)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Near-rings in which each prime factor is simple.

Birkenmeier, Gary F., Groenewald, Nico J. (1999)

Mathematica Pannonica

Necklace rings and their radicals.

Veldsman, Stefan (2001)

Mathematica Pannonica

Nil right ideals in inverse semigroup algebras.

W.D. Munn (1992)

Semigroup forum

Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra

Deng Yin Wang, Haishan Pan, Xuansheng Wang (2010)

Czechoslovak Mathematical Journal

Let $𝒫$ be an arbitrary parabolic subalgebra of a simple associative $F$ -algebra. The ideals of $𝒫$ are determined completely; Each ideal of $𝒫$ is shown to be generated by one element; Every non-linear invertible map on $𝒫$ that preserves ideals is described in an explicit formula.

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Displaying 41 – 60 of 133

Idealtheorie für eine Klasse noetherscher Ringe.

Intuitionistic fuzzy $H_{v}$ -ideals.

Le monoïde d'un ordre maximal. Cas non noethérien

Left ideals in 1-primitive near-rings.

Linear right ideal nearrings.

Linearly compact chain rings.

Local cohomology in classical rings.

Medial rings and an associated radical

Minimal and maximal ideals in rings with involution.

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

More on matrix near-rings.

More on Morita contexts for near-rings.

Near-rings in which each prime factor is simple.

Necklace rings and their radicals.

Nil right ideals in inverse semigroup algebras.

Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra

Normalizing extensions of semiprime rings.

O automorfismech definovaných na okruhu endomorfismů homogenního totálně rozložitelného modulu

On a certain identitiy satisfied by a derivation and an arbitrary additive mapping. (Summary).

On a certain identity satisfied by a derivation and an arbitrary additive mapping.

Currently displaying 41 – 60 of 133