http://dspace.nbuv.gov.ua:80/handle/123456789/150331 Wed, 22 Apr 2026 14:29:52 GMT 2026-04-22T14:29:52Z http://dspace.nbuv.gov.ua:80/bitstream/id/448077/ http://dspace.nbuv.gov.ua:80/handle/123456789/150331 http://dspace.nbuv.gov.ua:80/handle/123456789/155961 Green’s relations on the deformed transformation semigroups Tsyaputa, G.Y. Green’s relations on the deformed finite inverse symmetric semigroup ISn and the deformed finite symmetric semigroup Tn are described. Thu, 01 Jan 2004 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/155961 2004-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/155957 On associative algebras satisfying the identity x⁵=0 Shestakov, I.; Zhukavets, N. We study Kuzmin’s conjecture on the index of nilpotency for the variety N il₅ of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that for k-generator N il₅-superalgebras, where k ≤ 5. We confirm Kuzmin’s conjecture for 2-generator superalgebras proving that they are nilpotent of degree 15. Thu, 01 Jan 2004 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/155957 2004-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/155953 Conic bundles over real formal power series field Bazyleu, D.F.; Tikhonov, S.V.; Yanchevski, V.I. We examine some properties of conic bundle rational surface over real formal power series field. We focus on the following problem: When does a conic bundle with prescribed degeneration data exist? We study also an algebraic counterpart of this problem (algebras, defined over a purely transcendental function field in one variable over real formal power series field). Thu, 01 Jan 2004 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/155953 2004-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/155952 Categories of lattices, and their global structure in terms of almost split sequences Rump, W. A major part of Iyama’s characterization of Auslander-Reiten quivers of representation-finite orders Λ consists of an induction via rejective subcategories of Λ-lattices, which amounts to a resolution of Λ as an isolated singularity. Despite of its useful applications (proof of Solomon’s second conjecture and the finiteness of representation dimension of any artinian algebra), rejective induction cannot be generalized to higher dimensional Cohen-Macaulay orders Λ. Our previous characterization of finite Auslander-Reiten quivers of Λ in terms of additive functions [22] was proved by means of L-functors, but we still had to rely on rejective induction. In the present article, this dependence will be eliminated. Thu, 01 Jan 2004 00:00:00 GMT http://dspace.nbuv.gov.ua:80/handle/123456789/155952 2004-01-01T00:00:00Z