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(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.

On right hereditary SPSD-rings of bounded representation type. Part 1

Gubareni N.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2012

Vol. 11, nr 3

57-70

The structure of right hereditary semiperfect semidistributive rings of bounded representation type is described in terms of Dynkin diagrams and diagrams with weights. We describe it using a reduction to mixed matrix problems.