This updated edition of a classic title studies identical relations in Lie algebras and also in
other classes of algebras, a theory with over 40 years of development in which new methods …

Full article: Automorphisms and involutions on incidence algebras Skip to Main Content Taylor
and Francis Online homepage Browse Search Publish Login | Register Log in or Register …

We study the graded polynomial identities with a homogeneous involution on the algebra of
upper triangular matrices endowed with a fine group grading. We compute their polynomial …

In the first part of this article, we show that the finitary incidence algebra of an arbitrary poset
X over a field K has an anti-automorphism (involution) if and only if X has an anti …

Identities with involution for 2 × 2 upper triangular matrices algebra over a finite field -
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Let K be a field and P a partially ordered set (poset). Let FI (P, K) and I (P, K) be the finitary
incidence algebra and the incidence space of P over K, respectively, and let D (P, K)= FI (P …

Let A be an associative algebra over a fixed field F of characteristic zero. In this paper we
focus our attention on those algebras A graded by Z 2, the cyclic group of order 2. In this …

We say that a*-ring R is a generalized quasi-Baer*-ring if for any ideal I of R, the right
annihilator of I n is generated, as a right ideal, by a projection, for some positive integer n …

Let UTn be the algebra of all n× n upper triangular matrices over a field F of characteristic
different from 2. In the present work, we will prove that for every automorphism of order 2 on …

Let A and B be finite-dimensional simple algebras with arbitrary signature over an
algebraically closed field. Suppose A and B are graded by a semigroup S so that the graded …