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On a generalized Jordan normal form of an infinite upper triangular matrix
(Taylor & Francis Ltd, United Kingdom, 2019)
Any square matrix over an algebraically closed field has a Jordan normal form. In this paper, we prove that every infinite upper triangular matrix over an arbitrary field has a generalized infinite Jordan normal form.
On the Generalized Strongly Nil - Clean Property of the Matrix Rings
(World Scientific Publishing Company, 2021)
Let R be an associative unital ring and not necessarily commutative. We
analyzes conditions under which every n×n matrix A over R is expressible as a sum
A = E1 + ... +Es +N of (commuting) idempotent matrices Ei and a ...