A1 Refereed original research article in a scientific journal

MATRIX EQUATIONS AND HILBERT'S TENTH PROBLEM



Authors: Bell P, Halava V, Harju T, Karhumaki J, Potapov I

Publisher: WORLD SCIENTIFIC PUBL CO PTE LTD

Publication year: 2008

Journal:: International Journal of Algebra and Computation

Journal name in source: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION

Journal acronym: INT J ALGEBR COMPUT

Volume: 18

Issue: 8

First page : 1231

Last page: 1241

Number of pages: 11

ISSN: 0218-1967

DOI: https://doi.org/10.1142/S0218196708004925


Abstract
The restricted problem where k = 2 for commutative matrices is known as the "A-B-C Problem" and we show that this problem is decidable even for a pair of non-commutative matrices over an algebraic number field.


Research Areas



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