Nazarova L. A.
Ukr. Mat. Zh. - 2002. - 54, № 6. - pp. 808-840
We consider numerical functions that characterize Dynkin schemes, Coxeter graphs, and tame marked quivers.
Ukr. Mat. Zh. - 2001. - 53, № 4. - pp. 550-555
We present necessary and sufficient conditions for the finite representability of K-marked quivers.
Ukr. Mat. Zh. - 2000. - 52, № 10. - pp. 1363-1396
A criterion of finite representability of dyadic sets is presented.
Ukr. Mat. Zh. - 1997. - 49, № 11. - pp. 1465–1477
We obtain the direct reduction of representations of a dyadic set S such that |Ind C(S)| < ∞ to the bipartite case.
Ukr. Mat. Zh. - 1995. - 47, № 11. - pp. 1451–1477
We prove that every finitely represented vectroid is determined, up to an isomorphism, by its completed biordered set. Elementary and multielementary representations of such vectroids (which play a central role for biinvolutive posets) are described.
Ukr. Mat. Zh. - 1967. - 19, № 2. - pp. 125–126
Ukr. Mat. Zh. - 1963. - 15, № 4. - pp. 437-444
Ukr. Mat. Zh. - 1962. - 14, № 3. - pp. 271-288
The authors discuss whole-number representations to a symmetrica! group of the third degree. It is shown that there exists only a finite number, i. e. ten, prime representations of this group. The dimensions of the prime representations do not exceed the order of the group.
It is further shown that the factoring of any representation into a direct sum of primes is univalent.
Thus the first example has been given of a complete description of whole-number representations of a non-commutative group.