Results 11 to 20 of about 823,346 (364)
Images of multilinear graded polynomials on upper triangular matrix algebras [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2022 In this paper, we study the images of multilinear graded polynomials on the graded algebra of upper triangular matrices $UT_n$ . For positive integers $q\leq n$ , we classify these images on $UT_{n}$ endowed with a particular elementary ${\mathbb {
P. Fagundes, P. Koshlukov
semanticscholar +1 more source
Characterizations of Lie n-Centralizers on Certain Trivial Extension Algebras
Journal of Mathematics, 2023 In this paper, we describe the structure of Lie n-centralizers of a trivial extension algebra. We then present some conditions under which a Lie n-centralizer on a trivial extension algebra is proper.
Xiaokui Li, He Yuan, Qian Zhang
doaj +1 more source
Images of multilinear polynomials on n × n upper triangular matrices over infinite fields [PDF]
Israel Journal of Mathematics, 2021 In this paper we prove that the image of multilinear polynomials evaluated on the algebra UT n ( K ) of n × n upper triangular matrices over an infinite field K equals J r , a power of its Jacobson ideal J = J ( UT n ( K )).
I. Gargate, Thiago Castilho de Mello
semanticscholar +1 more source
Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra
Mathematics, 2023 The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
doaj +1 more source
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
openaire +2 more sources
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
Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang, Nan Sheng, R. Borzooei
semanticscholar +1 more source
Jordan centralizer maps on trivial extension algebras
Demonstratio Mathematica, 2020 The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
doaj +1 more source
Nonlinear maps preserving Lie products on triangular algebras
Special Matrices, 2016 In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre.
Yu Weiyan
doaj +1 more source
On Amenability-Like Properties of a Class of Matrix Algebras
Journal of Mathematics, 2022 In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
doaj +1 more source