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Warfield Invariants in Abelian Group Algebras

Peter Danchev (2008)

Collectanea Mathematica

Warfield invariants in abelian group rings.

Peter V. Danchev (2005)

Extracta Mathematicae

Let R be a perfect commutative unital ring without zero divisors of char(R) = p and let G be a multiplicative abelian group. Then the Warfield p-invariants of the normed unit group V (RG) are computed only in terms of R and G. These cardinal-to-ordinal functions, combined with the Ulm-Kaplansky p-invariants, completely determine the structure of V (RG) whenever G is a Warfield p-mixed group.

Weak polynomial identities and their applications

Vesselin Drensky (2021)

Communications in Mathematics

Let $R$ be an associative algebra over a field $K$ generated by a vector subspace $V$ . The polynomial $f (x_{1}, ..., x_{n})$ of the free associative algebra $K 〈 x_{1}, x_{2}, ... 〉$ is a weak polynomial identity for the pair $(R, V)$ if it vanishes in $R$ when evaluated on $V$ . We survey results on weak polynomial identities and on their applications to polynomial identities and central polynomials of associative and close to them nonassociative algebras and on the finite basis problem. We also present results on weak polynomial identities of degree three....

Displaying 1 – 11 of 11

Warfield Invariants in Abelian Group Algebras

Warfield invariants in abelian group rings.

Weak polynomial identities and their applications

Weights for the Steinberg triality groups 3D4(q).

Weights of partitions and character zeros.

Weights, vertices and a correspondence of characters n groups of odd order.

Weil Representations of Finite Classical Groups.

W-graphs of representations of symmetric groups

When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?

Wreath products in modular group algebras of some finite 2-groups.

Wreath products in the unit group of modular group algebras of 2-groups of maximal class.

Currently displaying 1 – 11 of 11