We show that for any type III1 free Araki-Woods factor M = Γ(HR, Ut) ′′ associated with an orthogonal representation (Ut) of R on a separable real Hilbert space HR, the continuous core M = M⋊σ R is a semisolid II∞ factor, i.e. for any non-zero finite projection q ∈ M , the II1 factor qMq is semisolid. If the representation (Ut) is moreover assumed to be mixing, then we prove that the core M is ...

Background: The use of daylight in offices has become an effective strategy to improve the quality of indoor space and energy efficiency. There is enough potential to have daylight autonomy in Kerman as a city with more than 300 sunny days a year. Therefore, this study aimed to investigate the relationship between facades configuration and the amount of daylight in office buildings of Kerman. ...

In this paper, the notion of closure operators of matroids  is generalized to fuzzy setting  which is called $M$-fuzzifying closure operators, and some properties of $M$-fuzzifying closure operators are discussed. The $M$-fuzzifying matroid induced by an $M$-fuzzifying closure operator can induce an $M$-fuzzifying closure operator. Finally, the characterizations of $M$-fuzzifying acyclic matroi...

In this paper, we introduce some properties of an intuitionistic normal fuzzy m-subgroup of m- group with m-homomorphism and isomorphism. We study he image, the pre-image and the inverse mapping of the intuitionistic normal fuzzy m-‎subgroups.‎

We call a module  essentially retractable if HomR for all essential submodules N of M. For a right FBN ring R, it is shown that: (i)  A non-zero module  is retractable (in the sense that HomR for all non-zero ) if and only if certain factor modules of M are essentially retractable nonsingular modules over R modulo their annihilators. (ii)  A non-zero module  is essentially retractable if and on...

Ciliary neurotrophic factor was discovered based on its ability to support the survival of ciliary neurons, and is now known to act on a variety of neuronal and glial populations. Two distant relatives of ciliary neurotrophic factor, leukemia inhibitory factor and oncostatin M, mimic ciliary neurotrophic factor with respect to its actions on cells of the nervous system. In contrast to ciliary n...

the study was carried out in anambra state, nigeria. questionnaire was used to collect data from a sample of one hundred and eight (108) small-scale farmers. percentage, mean score, standard deviation and factor analysis were used for data analysis. the duration of the study was june 2009 and march, 2010. results of the study indicated that the major constraints to effective use of icts by smal...