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A DIOPHANTINE EQUATION INVOLVING SPECIAL PRIME NUMBERS

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; 73 (1)

Let [.] be the floor function. In this paper, we prove by asymptotic formula that when 1 < c < 3441/2539, then every sufficiently large positive......

Exponential stability conditions for non-autonomous differential equations with unbounded commutators in a Banach space

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; 73 (2)

We consider the equation dy(t)/dt = (A+B(t))y(t) (t (SIC) 0), where A is the generator of an analytic semigroup (e(At))t(SIC)0 on a Banach space X, B(......

DING PROJECTIVE AND DING INJECTIVE MODULES OVER TRIVIAL RING EXTENSIONS

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

Let R ? M be a trivial extension of a ring R by an R-R-bimodule M such that MR, RM, (R, 0)(R?M) and (R? M)(R, 0) have finite flat dimensions. We prove......

The Picard-Lindelof Theorem and continuation of solutions for measure differential equations

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

We obtain, by means of Banach's Fixed Point Theorem, convergence for the Picard iterations associated to a general nonlinear system of measure differe......

Commutative Rings Whose Certain Modules Decompose into Direct Sums of Cyclic Submodules

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

We provide some characterizations of rings R for which every (finitely generated) module belonging to a class C of R-modules is a direct sum of cyclic......

SPECIAL MODULES FOR R(PSL(2, q))

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

Let R be a fusion ring and R-C := R circle times C-Z be the corresponding fusion algebra. We first show that the algebra R(C )has only one left (right......

THE CLEAN ELEMENTS OF THE RING R(L)

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

We characterize clean elements of R(L) and show that alpha is an element of R(L) is clean if and only if there exists a clopen sublocale U in L such t......

On n-Submodules and G.n-Submodules

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; 73 (1)

We investigate some properties of n-submodules. More precisely, we find a necessary and sufficient condition for every proper submodule of a module to......

On pairs of Goldbach-Linnik equations with unequal powers of primes

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

It is proved that every pair of sufficiently large odd integers can be represented by a pair of equations, each containing two squares of primes, two ......

Global classical solutions in a self-consistent chemotaxis(-Navier)-Stokes system

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

The self-consistent chemotaxis-fluid system{n(t)+u del n= triangle n- del (n del c) +del (n del phi),x is an element of ohm, t >0,c(t)+u del c= tri......

Non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

We study the non-existence of global classical solutions to 1D compressible heat-conducting micropolar fluid without viscosity. We first show that the......

On Popov's Explicit Formula and the Davenport Expansion

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

We shall establish an explicit formula for the Davenport series in terms of trivial zeros of the Riemann zeta-function, where by the Davenport series ......

LINEAR PRESERVER OF n x 1 FERRERS VECTORS

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; ()

Let A = [a(ij)](mxn) be an m x n matrix of zeros and ones. The matrix A is said to be a Ferrers matrix if it has decreasing row sums and it is row and......

The Factorization of the Weighted Hardy Space in Terms of Multilinear Calderon-Zygmund Operators

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; 73 (1)

We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderon-Zygmund operators. The result ......

Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces

期刊: CZECHOSLOVAK MATHEMATICAL JOURNAL, 2023; 73 (2)

We study the mapping property of the commutator of Hardy-Littlewood maximal function on Triebel-Lizorkin spaces. Also, some new characterizations of t......

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