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Relative Gorenstein Dimensions over Triangular Matrix Rings [PDF]
Mathematics, 2021 Let A and B be rings, U a (B,A)-bimodule, and T=A0UB the triangular matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are investigated.
Driss Bennis +3 more
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Isomorphism of generalized triangular matrix-rings and recovery of tiles [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We prove an isomorphism theorem for generalized triangular matrix-rings, over rings having only the idempotents 0and 1, in particular, over indecomposable commutative rings or over local rings (not necessarily commutative).
R. Khazal, S. Dăscălescu, L. Van Wyk
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On ideals of triangular matrix rings
Periodica Mathematica Hungarica, 2009 We provide a formula for the number of ideals of complete block-triangular matrix rings over any ring R such that the lattice of ideals of R is isomorphic to a finite product of finite chains, as well as for the number of ideals of (not necessarily ...
Jenö Szigeti, Leon Van Wyk
exaly +4 more sources
Semicommutative and Armendariz Matrix Rings
AxiomsIn this paper, we construct some interesting high-order upper triangular matrix rings, which have semicommutative and Armendariz properties. Also, the relatively maximality of these rings as subrings of certain matrix rings is considered.
Gang Yang
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Generalized π-Baer *-rings [PDF]
Journal of Algebraic Systems, 2023 A *-ring $R$ is called a generalized $\pi$-Baer *-ring, if for any projection invariant left ideal $Y$ of $R$, the right annihilator of $Y^n$ is generated, as a right ideal, by a projection, for some positive integer $n$, depending on $Y$
Ali Shahidikia, Haimd Haj Seyyed Javadi
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A CHARACTERIZATION OF BAER-IDEALS [PDF]
Journal of Algebraic Systems, 2014 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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Equalizing ideal for integer-valued polynomials over the upper triangular matrix ring [PDF]
ریاضی و جامعه, 2023 Let $D$ be an integral domain and $I$ be an ideal of the upper trangular matrix ring $T_{n}(D)$. In this paper, we study the equalizing ideal$$q_{I}=\{A\in T_n(D)|f(A)-f(0)\in I,\forall f\in {\operatorname{Int}}(T_n(D))\}.$$of the integer-valued ...
Ali Reza Naghipour
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Transfer matrix simulation of hard-core lattice gases on triangular lattice with up to third-neighbour exclusion [PDF]
Омский научный вестник, 2018 The hard-core lattice gas on a triangular lattice with up to thirdneighbour exclusion has been simulated by the transfer matrix method. To calculate the transfer matrix a special algorithm for generating rings is used.
A. V. Myshlyavtsev, M. D. Myshlyavtseva
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Lifting properties of formal triangular matrix rings
, 2021 This article concerns various lifting properties of formal triangular matrix rings. The first aim is to study idempotent lifting ideals of formal triangular matrix rings. In connection with the idempotent lifting property, we also describe strong lifting,
Ozarslan, MELTEM
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Functional identities on upper triangular matrix rings
Open Mathematics, 2020 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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