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Start Over Descriptor "MATHEMATICAL invariants" Language russian
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1. On equivalence of pairs of matrices, which determinants are primes powers, over quadratic Euclidean rings.

Author

Ladzoryshyn, N. B.

Subjects
MATRICES (Mathematics), EUCLIDEAN domains, QUADRATIC forms, MATHEMATICAL invariants, MATHEMATICAL transformations, INTEGERS
Abstract

We establish that a pair of matrices, which determinants are primes powers, can be reduced over quadratic Euclidean ring Κ = ℤ [√k] to their triangular forms with invariant factors on a main diagonal by using the common transformation of rows over a ring of rational integers ℤ and separate transformations of columns over a quadratic ring Κ. [ABSTRACT FROM AUTHOR]

Published
2013
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