Results 21 to 30 of about 38,746 (313)
Involutive triangular matrix algebras
In this paper we provide new examples of Banach $ \ast $-subalgebras of the matrix algebra $M_n(\mathscr{A}) $ over a commutative unital $C^*$-algebra $\mathscr{A}$. For any involutive algebra, we define two involutions on the triangular matrix extensions. We prove that the triangular matrix algebras over any commutative unital $C^*$-algebra
Morteza AHMADİ, Ahmad MOUSSAVİ
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Calculation algorithm of rational estimations of recurrence periodical fourth order fraction
Recurrence fourth order fractions are studied. Connection with algebraic fourth order equations is established. Calculation algorithms of rational contractions of such fractions are built.
R.A. Zatorsky, A.V. Semenchuk
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New Banach Sequence Spaces Defined by Jordan Totient Function
In this study, a special lower triangular matrix derived by combining Riesz matrix and Jordan totient matrix is used to construct new Banach spaces. $\alpha-$,$\beta-$,$\gamma-$duals of the resulting spaces are obtained and some matrix operators ...
Uskan Devletli, Merve Ilkhan Kara
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A CHARACTERIZATION OF BAER-IDEALS [PDF]
An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
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Silting Modules over Triangular Matrix Rings [PDF]
17 pages, accepted for publication in Taiwanese Journal of ...
Gao, Hanpeng, Huang, Zhaoyong
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Nonlinear maps preserving Lie products on triangular algebras
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
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Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati +2 more
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Functional identities on upper triangular matrix rings
Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any ...
Yuan He, Chen Liangyun
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Thirty-six full matrix forms of the Pascal triangle: Derivation and symmetry relations
For all 2≤n∈N, the four vertices (00),(n0),(2nn),(nn) of the Pascal Triangle expanded from level 0 to level 2n define the greatest embedded rhomboid sub-block denoted n−GRSB in this paper.
Prosper K. Doh +2 more
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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