This article covers a theory of dense subsets in general semigroups, including basic algebraic properties of dense and disjunctive subsets, characterizations of dense subset preserving homomorphisms and some remarkable properties of dense elements.

suppose that $h$ is a subgroup of $g$‎, ‎then $h$ is said to be‎ ‎$s$-permutable in $g$‎, ‎if $h$ permutes with every sylow subgroup of‎ ‎$g$‎. ‎if $hp=ph$ hold for every sylow subgroup $p$ of $g$ with $(|p|‎, ‎|h|)=1$)‎, ‎then $h$ is called an $s$-semipermutable subgroup of $g$‎. ‎in this paper‎, ‎we say that $h$ is partially $s$-embedded in $g$ if‎ ‎$g$ has a normal subgroup $t$ such that $ht...

Let t, be r-dimensional real projective space with r odd, and let irnDiff* : Pr be the group of orientation preserving difteomorphisms P,-* P, factored by the normal subgroup of those concordant (= pseudoiso topic) to the identity. The main theorem of this paper is that fores 11 mod 16 the group T0Diff+: P, is isomorphic to the homotopy group irr+i+k(&/Pk-\), where k dlL r 1 with L > <p((r + l)...

iodine deficiency is the most important preventable cause of mental deficiency. the aim of this study was to specify the phase during fetal and postnatal development when iodine supplementation would have optimum effect on the prevention of brain damage. materials and methods forty schoolchildren aged 7-13 years, from the previously iodine deficient villages of kiga and randan, were divided int...

groups of infinite rank in which every subgroup is either normal or self-normalizing are characterized in terms of their subgroups of infinite rank.

AimsTo evaluate the importance and usefulness of fasting plasma glucose (FPG) in first trimester predicting adverse pregnancy outcomes.MethodsA retrospective study 22,398 singleton pregnancies was conducted. Participants were divided into subgroups according to first-trimester FPG (low FPG, < 5.1 mmol/L; medium mmol/L ≤ 5.6 high 7.0 mmol/L) oral tolerance test(OGTT) results (normal abnormal) du...

In this paper, we deal with Molaei’s generalized groups. We definethe notion of a fuzzy generalized subgroup with respect to a t-norm (orT-fuzzy generalized subgroup) and give some related properties. Especially,we state and prove the Representation Theorem for these fuzzy generalizedsubgroups. Next, using the concept of continuity of t-norms we obtain a correspondencebetween TF(G), the set of ...