in this thesis, first the notion of weak mutual associativity (w.m.a.) and the necessary and sufficient condition for a $(l,gamma)$-associated hypersemigroup $(h, ast)$ derived from some family of $lesssim$-preordered semigroups to be a hypergroup, are given. second, by proving the fact that the concrete categories, semihypergroups and hypergroups have not free objects we will introduce t...

abstract : the purpose of this research is to study a bout multiple manifestations of poem music in hakim sanaee ghaznavi poems yherefore the first seetion of this book study and describes the complete works of this research about poem music love poem sanaee poem and this known and famous poets life and works the second section explained the external music of sanaee poems that for better u...

chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...

this thesis basically deals with the well-known notion of the bear-invariant of groups, which is the generalization of the schur multiplier of groups. in chapter two, section 2.1, we present an explicit formula for the bear-invariant of a direct product of cyclic groups with respect to nc, c>1. also in section 2.2, we caculate the baer-invatiant of a nilpotent product of cyclic groups wuth resp...

The use of sunscreens should also be recommended in order to work against all kind of ultarviolet (UV)-induced skin damage such as photoallergies, skin wrinkles, sunburn or even skin cancer. Sunscreens contain chemical filters (organic absorb regularly UVB radiation) and physical filters (e.g., TiO2 and ZnO). The second group has been said to reflect and scatter UVB and UVA radiation. TiO2 is ...