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$n$ - $gr$ -coherent rings and Gorenstein graded modules

Mostafa Amini, Driss Bennis, Soumia Mamdouhi (2022)

Czechoslovak Mathematical Journal

Let $R$ be a graded ring and $n \geq 1$ be an integer. We introduce and study the notions of Gorenstein $n$ -FP-gr-injective and Gorenstein $n$ -gr-flat modules by using the notion of special finitely presented graded modules. On $n$ -gr-coherent rings, we investigate the relationships between Gorenstein $n$ -FP-gr-injective and Gorenstein $n$ -gr-flat modules. Among other results, we prove that any graded module in $R$ -gr (or gr- $R$ ) admits a Gorenstein $n$ -FP-gr-injective (or Gorenstein $n$ -gr-flat) cover and preenvelope, respectively....

$N$ -groups with acc on annihilators and some topological properties.

Chowdhury, K.C., Das, G.C. (2004)

Mathematica Pannonica

$n$ -strongly Gorenstein graded modules

Zenghui Gao, Jie Peng (2019)

Czechoslovak Mathematical Journal

Let $R$ be a graded ring and $n \geq 1$ an integer. We introduce and study $n$ -strongly Gorenstein gr-projective, gr-injective and gr-flat modules. Some examples are given to show that $n$ -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules need not be $m$ -strongly Gorenstein gr-injective (gr-projective, gr-flat, respectively) modules whenever $n > m$ . Many properties of the $n$ -strongly Gorenstein gr-injective and gr-flat modules are discussed, some known results are generalized. Then we investigate...

Natural endomorphisms of quasi-shuffle Hopf algebras

Jean-Christophe Novelli, Frédéric Patras, Jean-Yves Thibon (2013)

Bulletin de la Société Mathématique de France

The Hopf algebra of word-quasi-symmetric functions ( $𝐖𝐐𝐒𝐲𝐦$ ), a noncommutative generalization of the Hopf algebra of quasi-symmetric functions, can be endowed with an internal product that has several compatibility properties with the other operations on $𝐖𝐐𝐒𝐲𝐦$ . This extends constructions familiar and central in the theory of free Lie algebras, noncommutative symmetric functions and their various applications fields, and allows to interpret $𝐖𝐐𝐒𝐲𝐦$ as a convolution algebra of linear endomorphisms of quasi-shuffle...

Near-rings generated by $R$ -modules.

Clay, James R., Kautschitsch, Hermann (1993)

Mathematica Pannonica

Nombre de valeurs propres d'un opérateur elliptique et polynôme de Hilbert-Samuel

Louis Boutet de Monvel (1978/1979)

Séminaire Bourbaki

Noncommutative graded domains with quadratic.

M. Artin, J.T. Stafford (1995)

Inventiones mathematicae

Non-commutative separability and group actions.

Ricardo Alfaro (1992)

Publicacions Matemàtiques

We give conditions for the skew group ring S * G to be strongly separable and H-separable over the ring S. In particular we show that the H-separability is equivalent to S being central Galois extension. We also look into the H-separability of the ring S over the fixed subring R under a faithful action of a group G. We show that such a chain: S * G H-separable over S and S H-separable over R cannot occur, and that the centralizer of R in S is an Azumaya algebra in the presence of a central element...

Nonlinear $*$ -Lie higher derivations of standard operator algebras

Mohammad Ashraf, Shakir Ali, Bilal Ahmad Wani (2018)

Communications in Mathematics

Let $ℋ$ be an infinite-dimensional complex Hilbert space and $𝔄$ be a standard operator algebra on $ℋ$ which is closed under the adjoint operation. It is shown that every nonlinear $*$ -Lie higher derivation $𝒟 = {δ_{n}}_{n \in ℕ}$ of $𝔄$ is automatically an additive higher derivation on $𝔄$ . Moreover, $𝒟 = {δ_{n}}_{n \in ℕ}$ is an inner $*$ -higher derivation.

Nonlinearity of the automorphism groups of some free algebras.

Roman'kov, V.A., Chirkov, I.V., Shevelin, M.A. (2004)

Sibirskij Matematicheskij Zhurnal

Non-transitive generalizations of subdirect products of linearly ordered rings

Jiří Rachůnek, Dana Šalounová (2003)

Czechoslovak Mathematical Journal

Weakly associative lattice rings (wal-rings) are non-transitive generalizations of lattice ordered rings (l-rings). As is known, the class of l-rings which are subdirect products of linearly ordered rings (i.e. the class of f-rings) plays an important role in the theory of l-rings. In the paper, the classes of wal-rings representable as subdirect products of to-rings and ao-rings (both being non-transitive generalizations of the class of f-rings) are characterized and the class of wal-rings having...

Normability of an S-ring.

El-Miloudi Marhrani, Mohamed Aamri (1998)

Collectanea Mathematica

We give some criteria of normability of an S-ring, and we study the properties of its norms.

If $R$ is a prime ring such that $R$ is not completely reducible and the additive group $R (+)$ is not complete, then $R$ is slender.

Notes on $(α, β)$ -derivations.

Aydin, Neşet (1997)

International Journal of Mathematics and Mathematical Sciences

Currently displaying 1 – 19 of 19

Page 1

Displaying 1 – 19 of 19

$n$ - $gr$ -coherent rings and Gorenstein graded modules

$N$ -groups with acc on annihilators and some topological properties.

$n$ -strongly Gorenstein graded modules

Natural endomorphisms of quasi-shuffle Hopf algebras

Near-rings generated by $R$ -modules.

Nombre de valeurs propres d'un opérateur elliptique et polynôme de Hilbert-Samuel

Noncommutative graded domains with quadratic.

Non-commutative separability and group actions.

Nonlinear $*$ -Lie higher derivations of standard operator algebras

Nonlinearity of the automorphism groups of some free algebras.

Non-transitive generalizations of subdirect products of linearly ordered rings

Normability of an S-ring.

Normal and tangential flatness.

Normal smash products.

Normal structure of the adjoint group in the radical rings $R_{n} (K, J)$ .

Notes on Galois extensions with inner Galois groups.

Notes on generalized $(σ, τ)$ –derivation

Notes on slender prime rings

Notes on $(α, β)$ -derivations.

Currently displaying 1 – 19 of 19