Results 61 to 70 of about 5,492 (174)

The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules

open access: yes, 2019
We give a sufficient condition for a bi-invariant weight on a Frobenius bimodule to satisfy the extension property. This condition applies to bi-invariant weights on a finite Frobenius ring as a special case.
Wood, Jay A.   +9 more
core   +1 more source

On (co)homology of Frobenius Poisson algebras

open access: yes, 2014
: In this paper, we study Poisson (co)homology of a Frobenius Poisson algebra. More precisely, we show that there exists a duality between Poisson homology and Poisson cohomology of Frobenius Poisson algebras, similar to that between Hochschild homology ...
Zhu, Can   +2 more
core   +1 more source

On a Frobenius Problem for Polynomials

open access: yes, 2017
We extend the famous diophantine Frobenius problem to a ring of polynomials over a field~k. Similar to the classical problem we show that the n = 2 case of the Frobenius problem for polynomials is easy to solve.
M. Rodriguez   +5 more
core   +1 more source

A characterization of quasi-Frobenius rings

open access: yesOsaka Mathematical Journal, 1952
It is shown that a ring \(A\) with unit element and satisfying minimum condition is a quasi-Frobenius ring [the reviewer, Ann. Math. (2) 42, 1--21 (1941; Zbl 0026.05801)] if and only if it satisfies the following condition proposed by \textit{K. Shoda} [Proc. Japan. Acad.
openaire   +4 more sources

Subring Depth, Frobenius Extensions, and Towers

open access: yes, 2012
The minimum depth d(B,A) of a subring B⊆A introduced in the work of Boltje, Danz and Külshammer (2011) is studied and compared with the tower depth of a Frobenius extension.
Lars Kadison
core   +1 more source

Nonassociative constructions from inverse property quasigroups

open access: yes, 2011
PhDThe notion of a Hopf algebra has been generalized many times by weakening certain properties; we introduce Hopf quasigroups which weaken the associativity of the algebra.
Klim, Jennifer
core  

Symmetric subgroup schemes, Frobenius splittings, and quantum symmetric pairs

open access: yes, 2022
Let $G_k$ be a connected reductive algebraic group over an algebraically closed field $k$ of characteristic $\neq 2$. Let $K_k \subset G_k$ be a quasi-split symmetric subgroup of $G_k$ with respect to an involution $\theta_k$ of $G_k$. The classification
Bao, Huanchen, Song, Jinfeng
core  

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