2019
Том 71
№ 11

# Drozd Yu. A.

Articles: 13
Article (Ukrainian)

### Representation Type of Nodal Algebras of Type D

Ukr. Mat. Zh. - 2014. - 66, № 7. - pp. 930–938

We establish the representation types (finite, tame, or wild) of nodal algebras of type D.

Article (English)

### Atoms in the p-localization of Stable Homotopy Category

Ukr. Mat. Zh. - 2014. - 66, № 4. - pp. 458–472

We study p-localizations, where p is an odd prime, of the full subcategories ${\mathcal{S}}^n$ of stable homotopy category formed by CW-complexes with cells in n successive dimensions. Using the technique of triangulated categories and matrix problems, we classify the atoms (indecomposable objects) in ${\mathcal{S}}_p^n$ for n ≤ 4(p − 1) and show that, for n > 4(p − 1), this classification is wild in a sense of the representation theory.

Anniversaries (Ukrainian)

### Yurii Stephanovych Samoilenko (on his 70th birthday)

Ukr. Mat. Zh. - 2013. - 65, № 10. - pp. 1408-1409

Anniversaries (Ukrainian)

### Anatolii Mykhailovych Samoilenko (on his 75th birthday)

Ukr. Mat. Zh. - 2013. - 65, № 1. - pp. 3 - 6

Article (Ukrainian)

### Derived categories of nodal curves

Ukr. Mat. Zh. - 2012. - 64, № 8. - pp. 1033-1040

We describe derived categories of coherent sheaves over nodal noncommutative curves of string and almost string types.

Article (English)

### Vector bundles over noncommutative nodal curves

Ukr. Mat. Zh. - 2012. - 64, № 2. - pp. 185-199

We describe vector bundles over a class of noncommutative curves, namely, over noncommutative nodal curves of string type and of almost string type. We also prove that, in other cases, the classification of vector bundles over a noncommutative curve is a wild problem.

Article (English)

### Cubic rings and their ideals

Ukr. Mat. Zh. - 2010. - 62, № 4. - pp. 464–470

We give an explicit description of cubic rings over a discrete valuation ring, as well as the description of all ideals of these rings.

Brief Communications (English)

### Generators and relations for wreath products

Ukr. Mat. Zh. - 2008. - 60, № 7. - pp. 997–999

Generators and defining relations for wreath products of groups are given. Under a certain condition (conormality of generators), they are minimal.

Anniversaries (Ukrainian)

### Fifty years devoted to science (on the 70th birthday of Anatolii Mykhailovych Samoilenko)

Ukr. Mat. Zh. - 2008. - 60, № 1. - pp. 3–7

Obituaries (Ukrainian)

### Andrei Reuter (1937-2006)

Ukr. Mat. Zh. - 2006. - 58, № 11. - pp. 1584-1585

Article (Ukrainian)

### Lattices over Noetherian algebras

Ukr. Mat. Zh. - 1990. - 42, № 5. - pp. 604–610

Article (Ukrainian)

### Hereditary orders

Ukr. Mat. Zh. - 1968. - 20, № 2. - pp. 246–248

Article (Ukrainian)

### Epresentation of rings lying in a matrix algebra of second order

Ukr. Mat. Zh. - 1967. - 19, № 3. - pp. 107–112