http://dspace.nbuv.gov.ua:80/handle/123456789/150342 2026-04-18T12:15:37Z 2026-04-18T12:15:37Z Rump, W. http://dspace.nbuv.gov.ua:80/handle/123456789/157388 2019-06-20T22:26:37Z 2006-01-01T00:00:00Z

Modules over braces Rump, W.

2006-01-01T00:00:00Z Ovsienko, S. http://dspace.nbuv.gov.ua:80/handle/123456789/157387 2019-06-20T22:27:42Z 2006-01-01T00:00:00Z

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 Kashuba, I. http://dspace.nbuv.gov.ua:80/handle/123456789/157385 2019-06-20T22:27:27Z 2006-01-01T00:00:00Z

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 Ceccherini-Silberstein, T. Coornaert, M. http://dspace.nbuv.gov.ua:80/handle/123456789/157384 2019-06-20T22:27:35Z 2006-01-01T00:00:00Z

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