Mathematica Slovaca
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On ordered semigroups which are semilattices of left simple semigroups
Mathematica Slovaca - Tập 63 - Trang 411-416 - 2013
It has been proved by Tôru Saitô that a semigroup S is a semilattice of left simple semigroups, that is, it is decomposable into left simple semigroups, if and only if the set of left ideals of S is a semilattice under the multiplication of subsets, and that this is equivalent to say that S is left regular and every left ideal of S is two-sided. Besides, S. Lajos has proved that a semigroup S is l......
Densities generated by equivalent measures
Mathematica Slovaca - Tập 61 - Trang 733-746 - 2011
In the family of all measures equivalent to the Borel measure µ defined in a metric space X, we look for measures generating the same density points (preserving µ-density at fixed point x
0 ∈ X).
Coloring of latticesAbstract
The concept of coloring is studied for graphs derived from lattices with 0. It is shown that, if such a graph is derived from an atomic or distributive lattice, then the chromatic number equals the clique number. If this number is finite, then in the case of a distributive lattice, it is determined by the number of minimal prime ideals in th... ...
Mathematica Slovaca - Tập 60 Số 4 - Trang 419-434 - 2010
Homomorphism-homogeneous monounary algebras
Mathematica Slovaca - Tập 63 - Trang 993-1000 - 2013
In 2006, P. J. Cameron and J. Nešetřil introduced the following variant of homogeneity: we say that a structure is homomorphism-homogeneous if every homomorphism between finitely generated substructures of the structure extends to an endomorphism of the structure. In several recent papers homomorphism-homogeneous objects in some well-known classes of algebras have been investigated (e.g. lattices ......
On BF-algebras
Mathematica Slovaca - Tập 57 - Trang 119-128 - 2007
In this paper we introduce the notion of BF-algebras, which is a generalization of B-algebras. We also introduce the notions of an ideal and a normal ideal in BF-algebras. We investigate the properties and characterizations of them.
Rational permutation groups containing a full cycle
Mathematica Slovaca - Tập 63 - Trang 1227-1232 - 2013
A finite group whose irreducible complex characters are rational valued is called a rational group. Thus, G is a rational group if and only if N
G
(〈x〉)/C
G
(〈x〉) ≌ Aut(〈x〉) for every x ∈ G. For example, all symmetric groups and their Sylow 2-subgroups are rational groups. Structure of rational gr......
Some results on certain classes of multivalently analytic functions based on differential subordination involving a convolution structure
Mathematica Slovaca - Tập 60 - Trang 471-484 - 2010
Making use of the familiar convolution structure of analytic functions, we introduce a general class of multivalently analytic functions and derive various useful properties and characteristics of this function class by using the techniques of differential subordination. Several other results are presented exhibiting relevant connections to some of the results obtained in earlier works.
Corrigendum of the paper: some results on certain classes of multivalently analytic functions based on differential subordination involving a convolution structure math. Slovaca 60 (2010), 471–484 (subordination result and generalizations)
Mathematica Slovaca - Tập 63 - Trang 511-512 - 2013
This note gives the correct form of a result (Theorem 2, p. 478) published recently in [Math. Slovaca 60 (2010), 471–484].
The crossing number of G ▭ C n for the graph G on six vertices
Mathematica Slovaca - - 2011
The crossing numbers of Cartesian products of paths, cycles or stars with all graphs of order at most four are known. The crossing numbers of G□C
n
for some graphs G on five and six vertices and the cycle C
n
are also given. In this paper, we extend these results by determining t......
Spectral automorphisms in CB-effect algebrasAbstract
Spectral automorphisms have been introduced in [IVANOV, A.—CARAGHEORGHEOPOL, D.: Spectral automorphisms in quantum logics, Internat. J. Theoret. Phys. 49 (2010), 3146–3152]_in an attempt to construct, in the abstract framework of orthomodular lattices, an analogue of the spectral theory in Hilbert spaces. We generalize spectral automorphisms... ...
Mathematica Slovaca - - 2012
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