Results 31 to 40 of about 22,203 (182)
Lattice-ordered triangular matrix algebras
Journal of Algebra, 2009 The set \(T^0_n\) of all \((n\times n)\)-matrices \(E_{ij}\) defined for \(1\leq i\leq j\leq n\) such that the \(ij\)-entry is equal to \(1\) and all other entries are 0, including the zero matrix, forms a semigroup with respect to the usual matrix multiplication, the semigroup of triangular matrix units.
Ma, Jingjing, March, Ellen
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Derivations and the first cohomology group of trivial extension algebras
, 2017 In this paper we investigate in details derivations on trivial extension algebras. We obtain generalizations of both known results on derivations on triangular matrix algebras and a known result on first cohomology group of trivial extension algebras. As
Bennis, Driss, Fahid, Brahim
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Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +2 more
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Triangular matrix algebras over quasi-hereditary algebras
Tsukuba Journal of Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gorenstein triangular matrix rings and category algebras [PDF]
Journal of Pure and Applied Algebra, 2016 17 ...
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Waring problem for triangular matrix algebra
Linear Algebra and its ApplicationsThe Matrix Waring problem is if we can write every matrix as a sum of $k$-th powers. Here, we look at the same problem for triangular matrix algebra $T_n(\mathbb{F}_q)$ consisting of upper triangular matrices over a finite field. We prove that for all integers $k, n \geq 1$, there exists a constant $\mathcal C(k, n)$, such that for all $q> \mathcal ...
Kaushik, Rahul, Singh, Anupam
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Exceptional cycles in triangular matrix algebras
Journal of Algebra, 2023 An exceptional cycle in a triangulated category with Serre functor is a generalization of a spherical object. Suppose that $A$ and $B$ are Gorenstein algebras, given a perfect exceptional $n$-cycle $E_*$ in $K^b(A\mbox{-}{\rm proj})$ and a perfect exceptional $m$-cycle $F_*$ in $K^b(B\mbox{-}{\rm proj})$, we construct an $A$-$B$-bimodule $N$, and prove
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New time-type and space-type non-standard quantum algebras and discrete symmetries
, 2000 Starting from the classical r-matrix of the non-standard (or Jordanian) quantum deformation of the sl(2,R) algebra, new triangular quantum deformations for the real Lie algebras so(2,2), so(3,1) and iso(2,1) are simultaneously constructed by using a ...
Ballesteros A +21 more
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Algebras of right ample semigroups
Open Mathematics, 2018 Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
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Tame triangular matrix algebras over self-injective algebras
Tsukuba Journal of Mathematics, 1987 Let A be a basic connected finite dimensional algebra over an algebraically closed field and \(T_ 2(A)\) be the algebra of \(2\times 2\) upper triangular matrices over A. It is known [the reviewer, Bull. Pol. Acad. Sci., Math. 34, 517-523 (1986; Zbl 0612.16016)] that, if \(T_ 2(A)\) is tame, then A is representation-finite. Here, one proves that, for A
Hoshino, Mitsuo, Miyachi, Jun-ichi
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