in this paper, we introduce the notion of primal strong co-ideals and give some results involving them. it is shown thatsubtractive strong co-ideals are intersection of all primal strong co-ideals that contain them. also we prove that the representation of strong co-ideals as reduced intersections of primal strong co-ideals is unique.

for $a,bin m_{nm},$ we say that $a$ is left matrix majorized (resp. left matrix submajorized) by $b$ and write $aprec_{ell}b$ (resp. $aprec_{ell s}b$), if $a=rb$ for some $ntimes n$ row stochastic (resp. row substochastic) matrix $r.$ moreover, we define the relation $sim_{ell s} $ on $m_{nm}$ as follows: $asim_{ell s} b$ if $aprec_{ell s} bprec_{ell s} a.$ this paper characterizes all linear p...

in this paper, we extend and generalize some recent results on the strong laws of large numbers (slln) for pairwise independent random variables [3]. no assumption is made concerning the existence of independence among the random variables (henceforth r.v.’s). also chandra’s result on cesàro uniformly integrable r.v.’s is extended.

Background: The most important strategy of the immune system against pathogens is producing active oxygen intermediates with sidelong consequence of oxidative stress induction in body. Probiotics and selenium have recently been proven to be powerful antioxidants that help boost the immune system. Hence, the aim of this study was to investigate the antioxidant effects of Sac...

Background & Aim: The aim of this study was to investigate the antibacterial, antifungal properties and chemical composition screening of essential oils of Satureja khuzestanica Jamzad and Satureja hortensis L. Experimental: For determination of antibacterial and antifungal activity of these essential oils, Staphylococcus aureus...

The notion of strong differential subordination was introduced in 1994 and the theory related to it developed 2009. dual superordination also In a paper published 2012, given new approach by defining classes analytic functions on U×U¯ having as coefficients holomorphic U¯. Using those classes, extended S?l?gean Ruscheweyh operators were operator defined L?m:An?*?An?*,L?mf(z,?)=(1??)Rmf(z,?)+?Sm...

Background & Aim: The aim of this study was to investigate the antibacterial, antifungal properties and chemical composition screening of essential oils of Satureja khuzestanica Jamzad and Satureja hortensis L. Experimental: For determination of antibacterial and antifungal activity of these essential oils, Staphylococcus aureus...