Results 251 to 260 of about 3,388 (272)
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Study of formal triangular matrix rings
Communications in Algebra, 1999In this paper we carry out a systematic study of various ring theoretic properties of formal triangular matrix rings. Some definitive results are obtained on these rings concerning properties such as being respectively left Kasch, right mininjective, clean, potent, right PF or a ring of stable rank ≤ n.
A. Haghany, K. Varadarajan
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An embedding theorem on triangular matrix rings
Linear and Multilinear Algebra, 2016Every matrix in the triangular matrix ring over a bleached local ring R is similar to a ‘simple form’, which is, in most cases, contained in a subring of with isomorphic to a direct product of two triangular matrix rings over R of smaller size. This result, called the embedding theorem, suggests a new approach for handling triangular matrix rings.
Gaohua Tang, Yiqiang Zhou
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Automorphisms of upper triangular matrix rings
Archiv Der Mathematik, 1987Let A be a simple artinian ring with center F and suppose A is finite dimensional over F. The Skolem-Noether theorem says that every F- automorphism of A is inner. In this note we show that every F- automorphism of the ring of upper triangular matrices over such a ring is inner.
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Involutives in Triangular Matrix Rings
2020Let R be a commutative ring with identity 1 whose involutives are only -1 and 1, and let M be an upper triangular matrices ring which entries are taken from the ring R. In the study, it is established the necessary and sufficient conditions for an element taken from the ring M to be involutive.
PETİK, Tuğba +2 more
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On the vanishing of Ext over formal triangular matrix rings
Forum Mathematicum, 2006This paper studies many homological properties of modules over a formal triangular matrix ring \(T=\left(\begin{smallmatrix} A&0\\ M&B\end{smallmatrix}\right)\), where \(A\) and \(B\) are rings and \(M\) is a \(B\)-\(A\)-bimodule. Up to equivalence of categories, a right \(T\)-module \(K\) is a triple \((X,Y)_f\), where \(X\) is a right \(A\)-module, \(
Asadollahi, Javad, Salarian, Shokrollah
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On the Representation Type of Triangular Matrix Rings
Journal of the London Mathematical Society, 1976Auslander, Maurice, Reiten, Idun
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Multiplicative Lie derivations on triangular n-matrix rings
Linear and Multilinear Algebra, 2022Huimin Chen
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Triangular matrix rings of selfinjective rings
Communications in Algebra, 2021A Moussavi, R Mohammadi
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