Автор відсутній(Algebra and Discrete Mathematics, 2006)
This paper deals with a semigroup of orderdecreasing transformations of a rooted tree. Such are the transformations α of some rooted tree G satisfying following condition:
for any x from G α(x) belongs to a simple path ...
Reznykov, I.I.(Algebra and Discrete Mathematics, 2006)
We introduce the notions of n-state Mealy automaton sequence and limit of this sequence. These notions are
illustrated by the 2-state Mealy automaton sequences that have
the set of finite limit automata.
Protasova, O.I.(Algebra and Discrete Mathematics, 2006)
A ballean B is a set X endowed with some family
of subsets of X which are called the balls. The properties of the
balls are postulated in such a way that a ballean can be considered
as an asymptotic counterpart of a ...
Spalinski, J.(Algebra and Discrete Mathematics, 2006)
We introduce n-acyclic cofibrations and n-acyclic
fibrations in a stratified model category and show that they have
the key properties of (acyclic) cofibrations and (acyclic) fibrations
in a model category. We analyse ...
Jedlicka, P.(Algebra and Discrete Mathematics, 2006)
We construct here the geometry monoids of LDI
(left distributive idempotent) and of LDLI (left distributive left
idempotent) identities. We study their properties and construct
a monoid with solvable word problem based ...
Belous, L.I.; Selkin, V.M.(Algebra and Discrete Mathematics, 2006)
Let H be some class of groups. A formation F
is called a minimal τ -closed ω-composition non-H-formation [1] if
F * H but F1 ⊆ H for all proper τ -closed ω-composition subformations F₁ of F. In this paper we describe the ...
Lyman, F.N.; Drushlyak, M.G.(Algebra and Discrete Mathematics, 2006)
The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (md-groups) are studied. Infinite groups with the minimal
condition for non-invariant abelian subgroups, ...