The matrix diophantine equations $AX+BY=C

The matrix diophantine equations $AX+BY=C

A method of constructing of solutions of matrix Diophantineequations $AX+BY=C$ over commutative domains of finitely generatedprincipal ideals is suggested. The formulas of general solutionsof such equations in some cases is proposed. The criterion ofuniqueness in the proper sense of their solutions...

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Veröffentlicht in:Karpats'kì matematinì publìkacìï 2011-12, Vol.3 (2), p.49-56
Hauptverfasser: N. S. Dzhaliuk, V. M. Petrychkovych
Format: Artikel
Sprache:eng
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Zusammenfassung:A method of constructing of solutions of matrix Diophantineequations $AX+BY=C$ over commutative domains of finitely generatedprincipal ideals is suggested. The formulas of general solutionsof such equations in some cases is proposed. The criterion ofuniqueness in the proper sense of their solutions is established.
ISSN:2075-9827