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Representations of (D,O)-species and flat mixed matrix problems

Gubareni N.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 3

47--56

The problem of describing representations of (D,O)-species is reduced to flat mixed matrix problems over discrete valuation rings and their common skew field of fractions.

(D,O)-species of bounded representation type

Gubareni N.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 4

39--50

We describe weak (D,O)-species of bounded representation type in terms of Dynkin diagrams and diagrams with weights. We reduce the problem of their description to flat mixed matrix problems over discrete valuation rings and their common skew field of fractions.