Articles with "quadratic rings" as a keyword



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Integer Solutions of Matrix Linear Unilateral and Bilateral Equations over Quadratic Rings

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Published in 2017 at "Journal of Mathematical Sciences"

DOI: 10.1007/s10958-017-3337-0

Abstract: For matrix linear equations AX + BY = C and AX + YB = C over quadratic rings ℤk$$ \mathbb{Z}\left[\sqrt{k}\right] $$, we establish necessary and sufficient conditions for the existence of integer solutions, i.e., solutions… read more here.

Keywords: integer solutions; equations quadratic; matrix linear; solutions matrix ... See more keywords