Results 11 to 20 of about 22,203 (182)

τ-tilting finite triangular matrix algebras

Journal of Pure and Applied Algebra, 2021
11 pages, major changes: Theorem 3.1(1) and the proof of Theorem 2.1, a new important example: Example 3 ...
Aihara, Takuma, Honma, Takahiro
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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss, Ben Yakoub l'Moufadal   +1 more
doaj   +3 more sources

Representations of Frobenius-type triangular matrix algebras [PDF]

Acta Mathematica Sinica, English Series, 2016
The aim of this paper is mainly to build a new representation-theoretic realization of finite root systems through the so-called Frobenius-type triangular matrix algebras by the method of reflection functors over any field. Finally, we give an analog of APR-tilting module for this class of algebras.
Li, Fang, Ye, Chang
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Polynomial functions on upper triangular matrix algebras [PDF]

Monatshefte für Mathematik, 2016
There are two kinds of polynomial functions on matrix algebras over commutative rings: those induced by polynomials with coefficients in the algebra itself and those induced by polynomials with scalar coefficients. In the case of algebras of upper triangular matrices over a commutative ring, we characterize the former in terms of the latter (which are ...
Sophie Frisch
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Gorenstein defect categories of triangular matrix algebras

Journal of Algebra, 2017
17 ...
Ming Lu
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Graded polynomial identities on upper block triangular matrix algebras

Journal of Algebra, 2014
Let \(UT(\alpha_1,\ldots,\alpha_m)\) be the algebra of upper block triangular matrices with \(i\)-th diagonal block consisting of \(\alpha_i\times\alpha_i\) matrices, \(i=1,\ldots,m\). In the paper under review the authors study elementary \(G\)-gradings of \(UT(\alpha_1,\ldots,\alpha_m)\) when \(G\) is an abelian group and the base field is of ...
Onofrio Mario Di Vincenzo, SPINELLI, ERNESTO   +1 more
openaire   +4 more sources

Approximate Biprojectivity of ℓ1-Munn Banach Algebras

Journal of Mathematics, 2022
In the present paper, we study the approximate biprojectivity and weak approximate biprojectivity of ℓ1-Munn Banach algebras when the related sandwich matrix is regular over InvA.
G. Zarei, A. Pourabbas, M. Rostami, A. Sahami   +3 more
doaj   +1 more source

Generalized Jordan N-Derivations of Unital Algebras with Idempotents

Journal of Mathematics, 2021
Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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Nonlinear Lie Triple Higher Derivations on Triangular Algebras by Local Actions: A New Perspective

Axioms, 2022
Let R be a commutative ring with unity and T be a triangular algebra over R. Let a sequence Δ={δn}n∈N of nonlinear mappings δn:T→T is a Lie triple higher derivation by local actions satisfying the equation.
Xinfeng Liang, Dandan Ren, Qingliu Li
doaj   +1 more source

Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

Journal of Mathematics, 2021
Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory).
Dadi Asefa
doaj   +1 more source