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pro vyhledávání: '"V V Kiričenko"'
Autor:
V V Kiričenko, A G Zavadskiĭ
Publikováno v:
Mathematics of the USSR-Sbornik. 32:273-291
Necessary and sufficient conditions are given for a semimaximal ring to have finitely many indecomposable nonisomorphic finitely generated modules that are torsion-free in the sense of Bass.Bibliography: 13 titles.
Autor:
V V Kiričenko
Publikováno v:
Mathematics of the USSR-Sbornik. 28:501-520
A description is given of two-sided Noetherian rings over which all finitely generated modules are semichained. Bibliography: 31 titles.
Autor:
Ju A Drozd, V V Kiričenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 6:323-365
We study quasi-Bass orders over complete local Dedekind rings, i.e. orders of which every indecomposable representation module is a direct summand of an over-ring. We give a method allowing us to reduce the study of such orders to the case of small a
Autor:
Ju A Drozd, V V Kiričenko
Publikováno v:
Mathematics of the USSR-Izvestiya. 7:711-732
Let be a semisimple -ring and its center. Assume that for any prime ideal the ring is primary. Let be the intersection of the maximal over-rings of , and . We prove that has a finite number of indecomposable integral representations if and only if is
Publikováno v:
Mathematics of the USSR-Izvestiya. 1:1357-1375
A criterion is given for orders over Dedekind rings to be hereditary. It is proved that every finitely generated torsionfree module over a Bass order, i.e., an order of which every superring has injective dimension one, splits into a direct sum of id
Publikováno v:
Mathematics of the USSR-Izvestiya. 8:298-300
Given a linear matrix problem, an order is constructed whose representations are classified by the matrices of this problem. It is shown that problems about representations of partially ordered sets are included in this scheme.