http://dspace.nbuv.gov.ua:80/handle/123456789/150342 2026-04-18T14:18:09Z http://dspace.nbuv.gov.ua:80/handle/123456789/157388 Modules over braces Rump, W. 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/157387 A construction of dual box Ovsienko, S. Let R be a quasi-hereditary algebra, F(∆) and F(∇) its categories of good and cogood modules correspondingly. In [6] these categories were characterized as the categories of representations of some boxes A = A∆ and A∇. These last are the box theory counterparts of Ringel duality ([8]). We present an implicit construction of the box B such that B − mo is equivalent to F(∇). 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/157385 Variety of Jordan algebras in small dimensions Kashuba, I. The variety J orn of Jordan unitary algebra structures on k n , k an algebraically closed field with char k 6= 2 , is studied, as well as infinitesimal deformations of Jordan algebras. Also we establish the list of GLn-orbits on J orn, n = 4, 5 under the action of structural transport. The numbers jor₄ and jor₅ of irreducible components are 3 and 6 respectively; a list of generic structures is included. 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/157384 Linear cellular automata: Garden of Eden Theorem, L-surjunctivity and group rings Ceccherini-Silberstein, T.; Coornaert, M. This paper is a slightly extended version of the lecture given by the first author at the “5th International Algebraic Conference in Ukraine” held on July 20–27 2005 at the Odessa I.I. Mechnikov National University. 2006-01-01T00:00:00Z