Recently, F.Smarandache generalized the Atanassov’s intuitionistic fuzzy sets and other kinds of sets to neutrosophic sets. Also, this author de…ned the notion of neutrosophic topology on the non-standard interval. One can expect some relation between the intuitionistic fuzzy topology on an IFS and the neutrosophic topology. We show in this work that this is false.

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 ...

Closing a Kurepa family under finite intersection yields a Kurepa family of the same cardinality, so we may assume N = {Nα : α ∈ μ} is closed under finite intersection. For each N ∈ N let m(N) = {α : Nα ⊂ N}. Since N is a Kurepa family, m(N) is a countable subset of μ. Also, m(N1 ∩N2) = m(N1) ∩m(N2) and so K = {m(N) : N ∈ N and m(N) is infinite} is a Kurepa family of cardinality no greater than...

An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right Baer-ideal, and R is right principaly quasi-Baer if every principal right ideal of R is a right Baer-ideal. Therefore the concept of Baer idea...

In this paper we consider two approaches for dealing with “endogenous selection” problems when estimating causal effects, namely selection models (SM) and principal stratification (PS). Our main goal is to highlight similarities and differences of the two approaches, by first investigating the different nature of their parametric hypotheses. In order to support our reasoning, we show their diff...

Motivated by the computations done in [9], where I introduced and discussed what I called the groupoid of generalized gauge transformations, viewed as a groupoid over the objects of the category BunG,M of principal G-bundles over a given manifold M , I develop in this paper the same ideas for the more general case of principal G-bundles or principal bundles with structure groupoid G, where now ...

Motivation Principal component analysis (PCA) is a crucial step in quality control of genomic data and a common approach for understanding population genetic structure. With the advent of large genotyping studies involving hundreds of thousands of individuals, standard approaches are no longer feasible. However, when the full decomposition is not required, substantial computational savings can ...