Makvand, Mohsen Abdi Mousivand, Amir
Published in
Czechoslovak Mathematical Journal

Let o(n) be the greatest odd integer less than or equal to n. In this paper we provide explicit formulae to compute ℕ-graded Betti numbers of the circulant graphs C2n(1, 2, 3, 5, …, o(n)). We do this by showing that this graph is the product (or join) of the cycle Cn by itself, and computing Betti numbers of Cn * Cn. We also discuss whether such a ...

Boussandel, Sahbi
Published in
Czechoslovak Mathematical Journal

This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple (V, H, V′) considered in the setting of this paper is such that the embedding V → H is only continuous.

Feng, Bin
Published in
Czechoslovak Mathematical Journal

We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).

Khalili, Valiollah
Published in
Czechoslovak Mathematical Journal

We prove that the universal central extension of a direct limit of perfect Hom- Lie algebras (Li,αLi)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(\mathcal{L_i,\;\al...

Collegari, Rodolfo Federson, Márcia Frasson, Miguel
Published in
Czechoslovak Mathematical Journal

We present a variation-of-constants formula for functional differential equations of the form y˙=L(t)yt+f(yt,t),yt0=φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\do...

Gaál, István Petrányi, Gábor
Published in
Czechoslovak Mathematical Journal

It is a classical problem in algebraic number theory to decide if a number field is monogeneous, that is if it admits power integral bases. It is especially interesting to consider this question in an infinite parametric familiy of number fields. In this paper we consider the infinite parametric family of simplest quartic fields K generated by a ro...

Rezaei, Shahram
Published in
Czechoslovak Mathematical Journal

Let (R,m)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(R,\mathfrak{m})$$\end{document} be a local ring, a an ideal of R and M a nonzero Artinian R-module of Noetheri...

Hashimoto, Daiki Ohno, Takao Shimomura, Tetsu
Published in
Czechoslovak Mathematical Journal

We are concerned with the boundedness of generalized fractional integral operators Iϱ,τ from Orlicz spaces LΦ(X) near L1(X) to Orlicz spaces LΨ(X) over metric measure spaces equipped with lower Ahlfors Q-regular measures, where Φ is a function of the form Φ(r) = rl(r) and l is of log-type. We give a generalization of paper by Mizuta et al. (2010), ...

Yoshitomi, Kazushi
Published in
Czechoslovak Mathematical Journal

We characterize the weak McShane integrability of a vector-valued function on a finite Radon measure space by means of only finite McShane partitions. We also obtain a similar characterization for the Fremlin generalized McShane integral.

Nefzi, Walid
Published in
Czechoslovak Mathematical Journal

The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.