In this paper, we  study the Arens regularity properties of module actions. We investigate some properties of topological centers of module actions ${Z}^ell_{B^{**}}(A^{**})$ and  ${Z}^ell_{A^{**}}(B^{**})$ with some conclusions in group algebras.

‎Let $X$‎, ‎$Y$ and $Z$ be Banach spaces and $f:Xtimes Y‎ ‎longrightarrow Z$ a bounded bilinear map‎. ‎In this paper we‎ ‎study the relation between Arens regularity of $f$ and the‎ ‎reflexivity of $Y$‎. ‎We also give some conditions under which the‎ ‎Arens regularity of a Banach algebra $A$ implies the Arens‎ ‎regularity of certain Banach right module action of $A$‎ .

We introduce center-like subsets Z*(R,f), Z**(R,f) and Z1(R,f), where R is a ring and f is a map from R to R. For f a derivation or a non-identity epimorphism and R a suitably-chosen prime or semiprime ring, we prove that these sets coincide with the center of R.

In this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $C(X)$ and the same of $C(Y)$, for some special subset $Y$ of $X$. For instance, if $Y=Coz(f)$ for some $fin C(X)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $C(Y)$ and the set of prime $z$-ideals of $C(X)$ not containing $f$. Moreover, c...

conclusions marital status may affect mets risk z score differently in both genders. results in comparison to participants who were married, no significant changes in mets risk z score was found in single participants. employed females in the transition to married group had significant increase in mets risk z score than single employed females. no significant changes in mets risk z score were o...

quantitative measurement of meteorological drought, z score(z), rainfall anomaly (rai), standard precipitation (spi) indices and percent of normal precipitation (pnpi) based upon seasonal and annual rainfall data of the 15 meteorological stations of meteorological in hamedan province were used. also, in studying influences of drought on agriculture relative yield index of wheat was used. the re...

the effects of drying method and prediction of the essential oil contents of two thyme genuses (thymus vulgaris and zataria multiflora) were investigated using scanning electron microscopy (sem). t. vulgaris was dried at 30°c under controlled conditions while z. multiflora dried through traditional method and at 50-70°c. in the middle and edge of z. multiflora leaves, 18.4 and 14.9% of glands w...