Статті
http://hdl.handle.net/123456789/84
IV International Algebraic Conference in Ukraine. This volume consists of papers presented at the IV International Algebraic Conference in Ukraine, which took place in Lviv (Lemborg) on August 4--9, 2003.2026-04-16T01:28:36ZGreen’s relations on the deformed transformation semigroups
http://hdl.handle.net/123456789/92
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 semi-
group Tn are described.
2004-01-01T00:00:00ZOn associative algebras satisfying the identity x5 = 0
http://hdl.handle.net/123456789/91
On associative algebras satisfying the identity x5 = 0
Shestakov, Ivan; Zhukavets, Natalia
We study Kuzmin’s conjecture on the index of
nilpotency for the variety Nil5 of associative nil-algebras of de-
gree 5. Due to Vaughan-Lee the problem is reduced to that
for k-generator Nil5-superalgebras, where k ≤ 5. We confirm
Kuzmin’s conjecture for 2-generator superalgebras proving that
they are nilpotent of degree 15.
2004-01-01T00:00:00ZCategories of lattices, and their global structure in terms of almost split sequences
http://hdl.handle.net/123456789/90
Categories of lattices, and their global structure in terms of almost split sequences
Rump, Wolfgang
A major part of Iyama’s characterization of
Auslander-Reiten quivers of representation-finite orders consists
of an induction via rejective subcategories of ¤-lattices, which
amounts to a resolution of ¤ as an isolated singularity. Despite
of its useful applications (proof of Solomon’s second conjecture
and the finiteness of representation dimension of any artinian al-
gebra), rejective induction cannot be generalized to higher dimen-
sional Cohen-Macaulay orders ¤. Our previous characterization
of finite Auslander-Reiten quivers of ¤ in terms of additive func-
tions [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.
2004-01-01T00:00:00ZOn lattices, modules and groups with many uniform elements
http://hdl.handle.net/123456789/89
On lattices, modules and groups with many uniform elements
Krempa, Jan
The uniform dimension, also known as Goldie
dimension, can be defined and used not only in the class of modules,
but also in large classes of lattices and groups. For considering this
dimension it is necessary to involve uniform elements.
In this paper we are going to discuss properties of lattices with
many uniform elements. Further, we examine these properties in
the case of lattices of submodules and of subgroups. We also for-
mulate some questions related to the subject of this note.
2004-01-01T00:00:00Z