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Idempotents in triangular matrix rings
Linear and Multilinear Algebra, 2019Let R be an associative ring with identity 1. We describe all idempotent matrices with only zeros and ones on the diagonal in T(n,R) – the ring of n×n upper triangular matrices over R (n∈N), and T(...
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On skew generalized triangular matrix rings
Summary: In this article, we study skew monoid rings in which the monoid used in their structure is a quotient of a free monoid. We study annihilator conditions of them and describe conditions for transferring some properties from the base ring \(R\) to these extensions. Interesting examples are provided for properties that are not transferred from \(R\Habibi, Mohammad, Paykan, Kamal
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The biofilm matrix: multitasking in a shared space
Nature Reviews Microbiology, 2022Hans-Curt Flemming +2 more
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Triangular to Matrix or Matrix to Triangular Conversion in APL
ACM SIGAPL APL Quote Quad, 1989Jerry Brennan, Jennifer Daly
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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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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, 2021Juan Ignacio Cirac Sasturáin +2 more
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