We present the details of a model theoretic proof of an analogue of the Manin-Mumford conjecture for semiabelian varieties in positive characteristic. As a by-product of the proof we reduce the general positive characteristic Mordell-Lang problem to a question about purely inseparable points on subvarieties of semiabelian varieties.

The use of phrasal verbs is problematic for Iranian EFL learners. Accordingly, the present studyinvestigated the performance of Iranian intermediate and advanced EFL learners in separable andinseparable verbs. The total population of the study was one hundred female Iranian EFLlearners who studied English as foreign language in Kaj language institute in Qazvin, Iran. Theparticipants were all fe...

Gromov gave an uncountable family of countable discrete groups with Kazhdan’s property (T). In this note, we will show that there is no separable II1-factor whose unitary group contains all these groups of Gromov as its subgroups. In particular, there is no separable II1-factor which contains all separable II1-factors as its subfactors. Recall that a discrete group Γ is said to have Kazhdan’s p...

in this paper we investigate generalized topologies generated by a subbase ofpreorder relators and consider its application in the concept of the complement. we introducethe notion of principal generalized topologies obtained from the new type of open sets andstudy some of their important properties.

It is shown that there is no Hausdorff vector topology p on the space Lp (where 0 < p < 1) such that the unit ball of Lp is relatively compact for the topology p. It is well known that the space L1 (0, 1) is not a dual Banach space; this follows from the Krein-Milman theorem. It is not even isomorphic to a dual space, by a result due to Gelfand [2] (see Bessaga and Pelczyn'ski [1] and Namioka [...

When applying the sequential quadratic programming (SQP) algorithm to topology optimization, using quasi-Newton methods or calculating Hessian matrix directly will result in a considerable amount of calculation, making it computationally infeasible when number optimization variables is large. To solve above problems, this paper creatively proposes method for approximate structural with minimum ...