S. Khalid NAUMAN Nadeem ur REHMAN Dr. Radwan Mohammed Al-Omary
Published in
Acta Mathematica Scientia

A classical problem in ring theory is to study conditions under which a ring is forced to become commutative. Stimulated from Jacobson's famous result, several techniques are developed to achieve this goal. In the present note, we use a pair of rings, which are the ingredients of a Morita context, and obtain that if one of the ring is prime with th...

YANG, Jie WANG, Yuzhao CHEN, Wenyi
Published in
Acta Mathematica Scientia

It is well known that the commutator Tb of the Calderón-Zygmund singular integral operator is bounded on Lp(Rn) for 1

ŞENGÜL, Hacer ET, Mikail
Published in
Acta Mathematica Scientia

In this article, we introduce the concept of lacunary statistical convergence of order α of real number sequences and give some inclusion relations between the sets of lacunary statistical convergence of order α and strong Nθα(p)-summability. Furthermore, some relations between the spaces NθαSθα are examined.

CANDAN, Murat
Published in
Acta Mathematica Scientia

The class f of almost convergent sequences was introduced by G.G. Lorentz, using the idea of the Banach limits [A contribution to the theory of divergent sequences, Acta Math. 80(1948), 167–190]. Let f0() and f() be the domain of the double sequential band matrix () in the sequence spaces f0 and f. In this article, the β. and γ-duals of the space f...

LI, Youfa YANG, Shouzhi
Published in
Acta Mathematica Scientia

This article aims at studying two-direction refinable functions and two-direction wavelets in the setting ℝs, s > 1. We give a sufficient condition for a two-direction refinable function belonging to L2(ℝs). Then, two theorems are given for constructing biorthogonal (orthogonal) two-direction refinable functions in L2(ℝs) and their biorthogonal (or...

BAI, Ruipu CHENG, Yu LIE, Jiaqian MENG, Wei
Published in
Acta Mathematica Scientia

3-Lie algebras have close relationships with many important fields in mathematics and mathematical physics. This article concerns 3-Lie algebras. The concepts of 3-Lie coalgebras and 3-Lie bialgebras are given. The structures of such categories of algebras and the relationships with 3-Lie algebras are studied. And the classification of 4-dimensiona...

DÜUNDAR†, Erdinc ALTAY, Bilal
Published in
Acta Mathematica Scientia

In this article, we prove a decomposition theorem for I2-convergent double sequences and introduce the notions of I2-Cauchy and I*2)-Cauchy double sequence, and then study their certain properties. Finally, we introduce the notions of regularly (I2,I)-convergence and (I2,I)-Cauchy double sequence.

SALIMI, Peyman VETRO, Pasquale
Published in
Acta Mathematica Scientia

Recently, Suzuki [T. Suzuki, A generalized Banach contraction principle that characterizes metric completeness, Proc. Amer. Math. Soc. 136 (2008), 1861-1869] proved a fixed point theorem that is a generalization of the Banach contraction principle and characterizes the metric completeness. Paesano and Vetro [D. Paesano and P. Vetro, Suzuki's type c...

AOUF, Mohamed K. BULBOACĂ, Teodor EL-ASHWASH, Rabha M.
Published in
Acta Mathematica Scientia

The object of this article is to investigate inclusion, radius, and other various properties of subclasses of multivalent analytic functions, which are defined by using an extended version of the Owa-Srivastava fractional differintegral operator Ω(λ, p).

MENG, Yuanyuan WANG, Yanying
Published in
Acta Mathematica Scientia

Let (M, T) be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism classes of (M, T) are determined.