Published in Mathematical Notes
Abstract Affine algebraic surfaces of Markov type of the form \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$x^2+y^2+z^2-xyz=c$$\end{document} are studied. Their autom...
Published in Mathematical Notes
Published in Mathematical Notes
Abstract It is proved that the lattice of all Fitting classes of finite groups is not distributive, and conditions under which Fitting classes satisfy the distributive and modular laws are determined.
Published in Mathematical Notes
Abstract Assume that a polygon is composed of equal rectangles. We find all quadratic irrationalities \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r$$\end{document} ...
Published in Mathematical Notes
Published in Mathematical Notes
Published in Mathematical Notes
Abstract This paper deals with the existence of a solution of a problem involving Leray–Lions type operators in Sobolev spaces with variable exponent. The proofs of our main results combine variational methods with energy estimates and Ekeland’s variational principle. This paper improves and generalizes previous ones in literature, more precisely t...
Published in Mathematical Notes
Abstract For any propositional logic, Sushko’s lemma states that, for any substitution, the preimage of the set of all tautologies of this logic is its theory. The problem of the relationship between the set of all such preimages and the set of all theories for classical propositional logic is considered. It is proved that any consistent theory of ...
Published in Mathematical Notes
Abstract Problems of constructing regular majorants for sequences \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu=\{\mu_n\}_{n=0}^{\infty}$$\end{document} of number...
Published in Mathematical Notes
