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- W4316843699 abstract "We explore the situation where all companion $n times n$ matrices over a field $F$ are weakly periodic of index of nilpotence $2$ and prove that this can be happen uniquely when $F$ is a countable field of positive characteristic, which is an algebraic extension of its minimal simple (finite) subfield, with all subfields of order greater than $n$. In particular, in the commuting case, we show even that $F$ is a finite field of order greater than $n$. Our obtained results somewhat generalize those obtained by Breaz-Modoi in Lin. Algebra & Appl. (2016)." @default.
- W4316843699 created "2023-01-17" @default.
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- W4316843699 date "2023-01-13" @default.
- W4316843699 modified "2023-09-25" @default.
- W4316843699 title "Companion Weakly Periodic Matrices over Finite and Countable Fields" @default.
- W4316843699 doi "https://doi.org/10.48550/arxiv.2301.05612" @default.
- W4316843699 hasPublicationYear "2023" @default.
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