http://dspace.nbuv.gov.ua:80/handle/123456789/150343 2026-04-18T12:15:33Z 2026-04-18T12:15:33Z Wang, S. http://dspace.nbuv.gov.ua:80/handle/123456789/157389 2019-06-20T22:28:40Z 2006-01-01T00:00:00Z

The generalized path algebras over standardly stratified algebras Wang, S. In this note, it is proved that the generalized path algebras over standardly stratified algebras are also standardly stratified, and the generalized path algebras over quasi-hereditary algebras are also quasi-hereditary. The ∆−good module categories over these big quasi-hereditary algebras are determined in terms of those of the given algebras.

2006-01-01T00:00:00Z Rump, W. http://dspace.nbuv.gov.ua:80/handle/123456789/157386 2019-06-20T22:27:52Z 2006-01-01T00:00:00Z

Arithmetic properties of exceptional lattice paths Rump, W. For a fixed real number ρ > 0, let L be an affine line of slope ρ ⁻¹ in R ² . We show that the closest approximation of L by a path P in Z ² is unique, except in one case, up to integral translation. We study this exceptional case. For irrational ρ, the projection of P to L yields two quasicrystallographic tilings in the sense of Lunnon and Pleasants [5]. If ρ satisfies an equation x ² = mx + 1 with m ∈ Z, both quasicrystals are mapped to each other by a substitution rule. For rational ρ, we characterize the periodic parts of P by geometric and arithmetic properties, and exhibit a relationship to the hereditary algebras Hρ(K) over a field K introduced in a recent proof of a conjecture of Ro˘ıter.

2006-01-01T00:00:00Z Ivanov, A. Majcher, K. http://dspace.nbuv.gov.ua:80/handle/123456789/157383 2019-06-20T22:28:27Z 2006-01-01T00:00:00Z

Absolutely ubiquitous groups Ivanov, A.; Majcher, K. We characterise absolutely ubiquitous groups in the class of model complete ω-categorical groups.

2006-01-01T00:00:00Z Guo, W. Xi Liu Baojun Li http://dspace.nbuv.gov.ua:80/handle/123456789/157379 2019-08-31T17:28:20Z 2006-01-01T00:00:00Z

On 𝔉-radicals of finite π-soluble groups Guo, W.; Xi Liu; Baojun Li In this paper, we prove that for every local πsaturated Fitting class 𝔉 with char(𝔉) = P, the F-radical of every finite π-soluble groups G has the property: CG(G𝔉 ) ⊆ G𝔉 . From this, some well known results are followed and some new results are obtained.

2006-01-01T00:00:00Z