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Displaying 21 – 37 of 37

Generalized Morita equivalence for linearly topologized rings

E. Gregorio (1988)

Rendiconti del Seminario Matematico della Università di Padova

Generalized reverse derivations and commutativity of prime rings

Shuliang Huang (2019)

Communications in Mathematics

Let $R$ be a prime ring with center $Z (R)$ and $I$ a nonzero right ideal of $R$ . Suppose that $R$ admits a generalized reverse derivation $(F, d)$ such that $d (Z (R)) \neq 0$ . In the present paper, we shall prove that if one of the following conditions holds: (i) $F (x y) \pm x y \in Z (R)$ , (ii) $F ([x, y]) \pm [F (x), y] \in Z (R)$ , (iii) $F ([x, y]) \pm [F (x), F (y)] \in Z (R)$ , (iv) $F (x \circ y) \pm F (x) \circ F (y) \in Z (R)$ , (v) $[F (x), y] \pm [x, F (y)] \in Z (R)$ , (vi) $F (x) \circ y \pm x \circ F (y) \in Z (R)$ for all $x, y \in I$ , then $R$ is commutative.

Generators for the divided powers algebra of an algebra and trace identities

Dieter Ziplies (1987)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Generic 2 x 2 Matrices with involution.

Helmer Aslaksen, Eng-Chye Tan (1994)

Manuscripta mathematica

Global Dimension of Differential Operator Rings. IV - Simple Modules.

Kenneth R. Goodearl (1989)

Forum mathematicum

Global structure of the mod two symmetric algebra, $H^{*} (B O; 𝔽_{2})$ over the Steenrod Algebra.

Pengelley, David J., Williams, Frank (2003)

Algebraic & Geometric Topology

Graded algebra automorphisms.

Montse Vela (1998)

Collectanea Mathematica

Graded blocks of group algebras with dihedral defect groups

Dusko Bogdanic (2011)

Colloquium Mathematicae

We investigate gradings on tame blocks of group algebras whose defect groups are dihedral. For this subfamily of tame blocks we classify gradings up to graded Morita equivalence, we transfer gradings via derived equivalences, and we check the existence, positivity and tightness of gradings. We classify gradings by computing the group of outer automorphisms that fix the isomorphism classes of simple modules.

Graded modules and their completions

Maurice Auslander, Idun Reiten (1990)

Banach Center Publications

Graded modules over G-sets II.

C. Nastasescu, F. Van Oystaeyen (1991)

Mathematische Zeitschrift

Graded-commutativity of the Yoneda product of Hopf bimodules.

Taillefer, Rachel (2003)

AMA. Algebra Montpellier Announcements [electronic only]

Grothendieck groups of invariant ring: linear actions of finite groups.

Martin Lorenz, Kennth A. Brown (1996)

Mathematische Zeitschrift

Group algebras with centrally metabelian unit groups.

Meena Sahai (1996)

Publicacions Matemàtiques

Given a field K of characteristic p > 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.

Currently displaying 21 – 37 of 37