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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
We study commutative local rings over which every upper-triangular matrix is the sum of an idempotent and a $q$-potent that commute. For Galois rings and rings of the form $\mathbb{F}_{p^{k}}[x]/\langle x^{r} \rangle$, necessary and sufficient criterion are provided.
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We study commutative local rings over which every upper-triangular matrix is the sum of an idempotent and a $q$-potent that commute. For Galois rings and rings of the form $\mathbb{F}_{p^{k}}[x]/\langle x^{r} \rangle$, necessary and sufficient criterion are provided.
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K i of Upper Triangular Matrix Rings
Proceedings of the American Mathematical Society, 1976R. Keith Dennis, Susan C. Geller
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The Injective Envelope of the Upper Triangular Matrix Ring
The American Mathematical Monthly, 1971E. E. Bray, K. A. Byrd, R. L. Bernhardt
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RANK DECREASING GRAPH OF UPPER TRIANGULAR MATRIX RINGS OVER ZP
Advances in Mathematics: Scientific Journal, 2020M. S. Akhila, K. Manilal
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The Images of Completely Homogeneous Polynomials on 2 × 2 Upper Triangular Matrix Algebras
Algebras and Representation Theory, 2021Yu Wang
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Functional Identities in Upper Triangular Matrix Rings Revisited
Linear and Multilinear Algebra, 2019Yu Wang
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Multiplicative Semigroup Automorphisms of Upper Triangular Matrices Over Rings
Linear Algebra and Its Applications, 1998Xian Zhang, Chongguang Cao
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Polynomial Functions on Upper Triangular Matrix Algebras
Monatshefte Fur Mathematik, 2017Sophie Frisch
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