In ‎this ‎paper, ‎we ‎study ‎the ‎relation ‎between ‎the ‎soft ‎sets ‎and ‎soft ‎Lie ‎algebras ‎with ‎the ‎lattice theory. ‎We ‎introduce ‎the ‎concepts ‎of ‎the ‎lattice ‎of ‎soft ‎sets, ‎full ‎soft ‎sets ‎and ‎soft ‎Lie ‎algebras ‎and next, we ‎verify ‎some ‎properties ‎of ‎them. We ‎prove ‎that ‎the ‎lattice ‎of ‎the ‎soft ‎sets ‎on ‎a fixed parameter set is isomorphic to the power set of a ...

Previous research has shown that opportunities for two-sided partner choice in finitely repeated social dilemma games can promote cooperation through a combination of sorting and opportunistic signaling, with late period defections by selfish players causing an end-game decline. How such experience would affect play of subsequent finitely-repeated games remains unclear. In each of six treatment...

Let Γ be a torsion-free hyperbolic group. We study Γ–limit groups which, unlike the fundamental case in which Γ is free, may not be finitely presentable or geometrically tractable. We define model Γ–limit groups, which always have good geometric properties (in particular, they are always relatively hyperbolic). Given a strict resolution of an arbitrary Γ–limit group L, we canonically construct ...

We have three somewhat independent sets of results. Our first results are a mixed blessing. We show that Morava K-theories don’t see k-invariants for homotopy commutative H-spaces which are finite Postnikov systems, i.e. for those with only a finite number of homotopy groups. Since k-invariants are what holds the space together, this suggests that Morava K-theories will not be of much use aroun...

We combine ideas of Scott and Swarup on good position for almost invariant subsets of a group with ideas of Sageev on constructing cubings from such sets. We construct cubings which are more canonical than in Sageev’s original construction. We also show that almost invariant sets can be chosen to be in very good position. Let G be a finitely generated group, and let H1, . . . , Hn be subgroups....

Let $M$ and $N$ be two finitely generated graded modules over a standard graded Noetherian ring $R=bigoplus_{ngeq 0} R_n$. In this paper we show that if $R_{0}$ is semi-local of dimension $leq 2$ then, the set $hbox{Ass}_{R_{0}}Big(H^{i}_{R_{+}}(M,N)_{n}Big)$ is asymptotically stable for $nrightarrow -infty$ in some special cases. Also, we study the torsion-freeness of graded generalized local ...

in this paper we study the concept of latin-majorizati-on. geometrically this concept is different from other kinds of majorization in some aspects. since the set of all $x$s latin-majorized by a fixed $y$ is not convex, but, consists of :union: of finitely many convex sets. next, we hint to linear preservers of latin-majorization on $ mathbb{r}^{n}$ and ${m_{n,m}}$.

Let us begin with some basic definitions and notation that will be needed in this paper. Throughout this paper, we denote by N and R, the sets of positive integers and real numbers, respectively. Let X, d be a metric space. For each x ∈ X, and A ⊆ X, let d x,A infy∈Ad x, y . Denote by N X the class of all nonempty subsets of X, C X the family of all nonempty closed subsets ofX, and CB X the fam...

The present paper is intended as a first step toward the establishment of a general theory of finitely subadditive outer measures. First, a general method for constructing a finitely subadditive outer measure and an associated finitely additive measure on any space is presented. This is followed by a discussion ofthe theory ofinner measures, their construction, and the relationship oftheir prop...