Journal of Pure Mathematics

Multiplication injective S-act on monoid

Masoomeh Hezarjaribi, Zohreh Habibi — Wed, 24 Jan 2024 00:00:00 +0000

In this paper, we define a new kind of injectivity, namely multiplication injective
S-act with respect to inclusion into multiplication S-act on monoid S. We study
the product and coproduct of multiplication injective S-act. Also, we investigate the
Skornjakhoph’ Theorem for multiplication injective S-act.

On Weak Compactness of Variable Exponent Spaces

Anslem Uche Amaonyeiro — Wed, 24 Jan 2024 00:00:00 +0000

This work shows some refined necessary and sufficient conditions placed on the subsets of variable exponent Lebesgue spaces to satisfy the axiom of weak compactness. We also present some results in connection with conditions for all separable variable exponent spaces to be weakly Banach-saks. That is, some results on the Banach-Saks property in variable exponent spaces are given.

Some curves in the framework of three dimensional f-Kenmotsu manifolds

Srimayee Samui, Pradip Majhi, Abhijit Biswas — Wed, 24 Jan 2024 06:10:22 +0000

We obtain the differentail equations for characterizing Frent curves, Legendre curves and magnetic curves in three three dimensional f-Kenmotsu manifolds. Also we prove that under certain assumptions a Frent curve whose curvature and torsion are given is Legendre curve.

Clean Armendariz ring

Somayyeh Razaghi — Wed, 24 Jan 2024 00:00:00 +0000

We introduce Clean Armendariz (Cl-Armendariz) rings which are a generalization of
Armendariz rings and investigate their properties.

A NEW CHARACTERIZATION OF CHEVALLEY GROUPS G2(2n ) BY NSE(G2(2n ))

Behnam Ebrahimzadeh, Abdollah Nazari — Wed, 24 Jan 2024 00:00:00 +0000

In this paper, we prove that the chevalley groups G2(2^n) where2^2n-2^n+1 and 2^n=2(mod3) uniquely determined by nse and order.

A Type of Almost Co-Kahler Manifold Satisfying Vacuum Static Equation

Pradip Majhi, Raju Das — Wed, 24 Jan 2024 00:00:00 +0000

In this paper we consider $(\tilde{k}, \tilde{\mu})$ almost co-K\"ahler manifold satisfying the vacuum static equation. First we prove that if a $(\tilde{k}, \tilde{\mu})$ almost co-K\"ahler manifold satisfies the vacuum static equation then its scalar curvature satisfies certain relation or the solution of the equation is trivial. Next we prove that the value of the scalar curvature is constant considering the fact that the vacuum static equation has non-trivial solution.