This article has no abstract

the concept of right (left) quotient (or residual) of an ideal η by anideal ν of an l-subring μ of a ring r is introduced. the right (left) quotients areshown to be ideals of μ . it is proved that the right quotient [η :r ν ] of an idealη by an ideal ν of an l-subring μ is the largest ideal of μ such that[η :r ν ]ν ⊆ η . most of the results pertaining to the notion of quotients(or residual) of ...

We consider extended binary trees and study the common right and left depth of leaf j, where the leaves are labelled from left to right by 0, 1, . . . , n, and the common right and left external pathlength of binary trees of size n. Under the random tree model, i.e., the Catalan model, we characterize the common limiting distribution of the suitably scaled left depth and the difference between ...

In this article, we will show that the modal properties of infinitive relative clauses are a direct consequence their defective functional periphery, namely they just project FinP in case prepositional relatives, but up to ForceP wh- relatives. While truncation analysis helps us explain special it offers new insights into standard situ focus as covert movement FocP and right-dislocation left-di...

Introduction: Brain lateralization is associated with human behavior. Therefore, this study aimed at investigating the effects of brain lateralization on the scores of paranormal beliefs. Methods: The study population included 180 students of Sanandaj universities, Sanandaj City, Iran who were selected with convenience sampling method (100 left-brained males, 6 left-brained females, 56 both le...

In this paper, we use the left(right) stabilizers of a BCKalgebra (X, &lowast, 0) and produce two basis for two different topologies. Then we show that the generated topological spaces by these basis are Bair, connected, locally connected and separable. Also we study the other properties of these topological spaces.

Fix a word $w$ in free group $F$ on $r$ generators. A $w$-random permutation the symmetric $S_N$ is obtained by sampling independent uniformly random permutations $\sigma_{1},\ldots,\sigma_{r}\in S_{N}$ and evaluating $w\left(\sigma_{1},\ldots,\sigma_{r}\right)$. In [arXiv:1104.3991, arXiv:1202.3269] it was shown that average number of fixed points $1+\theta\left(N^{1-\pi\left(w\right)}\right)$...