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On sub-class sizes of mutually permutable products

期刊: OPEN MATHEMATICS, 2021; 19 ()

In this paper, we investigate the influence of sub-class sizes on a mutually permutable factorized group in which the sub-class sizes of some elements......

On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions

期刊: OPEN MATHEMATICS, 2021; 19 ()

The present paper aims to find some new midpoint-type inequalities for twice quantum differentiable convex functions. The consequences derived in this......

Mean oscillation and boundedness of multilinear operator related to multiplier operator

期刊: OPEN MATHEMATICS, 2021; 19 (1)

In this paper, the boundedness of certain multilinear operator related to the multiplier operator from Lebesgue spaces to Orlicz spaces is obtained.

Counting certain quadratic partitions of zero modulo a prime number

期刊: OPEN MATHEMATICS, 2021; 19 ()

Consider an odd prime number p = 2 (mod 3). In this paper, the number of certain type of partitions of zero in Z/pZ is calculated using a combination ......

On kernels by rainbow paths in arc-coloured digraphs

期刊: OPEN MATHEMATICS, 2021; 19 ()

In 2018, Bai, Fujita and Zhang [Discrete Math. 341 (2018), no. 6, 1523-1533] introduced the concept of a kernel by rainbow paths (for short, RP-kernel......

On non-normal cyclic subgroups of prime order or order 4 of finite groups

期刊: OPEN MATHEMATICS, 2021; 19 ()

In this paper, we call a finite group G an NLM-group (NCM-group, respectively) if every non-normal cyclic subgroup of prime order or order 4 (prime po......

The (1,2)-step competition graph of a hypertournament

期刊: OPEN MATHEMATICS, 2021; 19 ()

Y In 2011, Factor and Merz [Discrete Appl. Math. 159 (2011), 100-103] defined the (1, 2)-step competition graph of a digraph. Given a digraph D = (V, ......

Symmetric graphs of valency seven and their basic normal quotient graphs

期刊: OPEN MATHEMATICS, 2021; 19 (1)

We characterize seven valent symmetric graphs of order 2pq(n) with p < q odd primes, extending a few previous results. Moreover, a consequence part......

Some results on semigroups of transformations with restricted range

期刊: OPEN MATHEMATICS, 2021; 19 ()

Let X be a non-empty set andY a non-empty subset of X. Denote the full transformation semigroup on X byT(X) and write f (X) = {f (x)vertical bar x eps......

New criteria-based 11-tensors for identifying the positive definiteness of multivariate homogeneous forms

期刊: OPEN MATHEMATICS, 2021; 19 (1)

Positive definite polynomials are important in the field of optimization. 11-tensors play an important role in identifing the positive definiteness of......

On split regular BiHom-Poisson color algebras

期刊: OPEN MATHEMATICS, 2021; 19 (1)

The purpose of this paper is to introduce the class of split regular BiHom-Poisson color algebras, which can be considered as the natural extension of......

Asymptotic stability of the time-changed stochastic delay differential equations with Markovian switching

期刊: OPEN MATHEMATICS, 2021; 19 (1)

The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching......

On a new generalization of some Hilbert-type inequalities

期刊: OPEN MATHEMATICS, 2021; 19 (1)

In this work, by introducing several parameters, a new kernel function including both the homogeneous and non-homogeneous cases is constructed, and a ......

The B-topology on S*-doubly quasicontinuous posets

期刊: OPEN MATHEMATICS, 2021; 19 (1)

The notions of os-convergence and S*-doubly quasicontinuous posets are introduced, which can be viewed as common generalizations of Birkhoff's order-c......

Resolving resolution dimensions in triangulated categories

期刊: OPEN MATHEMATICS, 2021; 19 ()

Let T be a triangulated category with a proper class xi of triangles and X be a subcategory of T. We first introduce the notion of X-resolution dimens......

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