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111.
Gert de Cooman Matthias C.M. Troffaes Enrique Miranda 《Journal of Mathematical Analysis and Applications》2008,340(2):982-999
This paper deals with n-monotone functionals, which constitute a generalisation of n-monotone set functions. Using the notion of exactness of a functional, we introduce a new notion of lower and upper integral which subsumes as particular cases most of the approaches to integration in the literature. As a consequence, we can characterise which types of integrals can be used to calculate the natural extension (the lower envelope of all linear extensions) of a positive bounded charge. 相似文献
112.
本文研究了群分次环的有限正规分次扩张问题.利用经典环论方法,得到一个群分次环与其有限正规分次扩张环之间关于分次Jacobson根和分次素根的关系,同时,给出了分次情形的Cutting down定理和Lying over定理. 相似文献
113.
We study systematically the natural generalization of Schreier’s extension theory to obtain proper loops and show that this construction gives a rich family of examples of loops in all traditional common, important loop classes. 相似文献
114.
Marcin Peczarski 《Order》2008,25(2):91-103
We consider the Gold Partition Conjecture (GPC) that implies the 1/3–2/3 Conjecture. We prove the GPC in the case where every
element of the poset is incomparable with at most six others. The proof involves the extensive use of computers.
This paper contains results obtained using computer resources of the Interdisciplinary Centre for Mathematical and Computational
Modelling (ICM), University of Warsaw. 相似文献
115.
Fei Xu 《Advances in Mathematics》2008,219(6):1872-1893
Let C be a small category and k a field. There are two interesting mathematical subjects: the category algebra kC and the classifying space |C|=BC. We study the ring homomorphism HH∗(kC)→H∗(|C|,k) and prove it is split surjective, using the factorization category of Quillen [D. Quillen, Higher algebraic K-theory I, in: Lecture Notes in Math., vol. 341, Springer-Verlag, Berlin, 1973, pp. 85-147] and certain techniques from functor cohomology theory. This generalizes the well-known theorems for groups and posets. Based on this result, we construct a seven-dimensional category algebra whose Hochschild cohomology ring modulo nilpotents is not finitely generated, disproving a conjecture of Snashall and Solberg [N. Snashall, Ø. Solberg, Support varieties and Hochschild cohomology rings, Proc. London Math. Soc. 88 (3) (2004) 705-732]. 相似文献
116.
B.P. Duggal 《Journal of Mathematical Analysis and Applications》2008,340(1):366-373
A Banach space operator T∈B(X) is hereditarily polaroid, T∈HP, if every part of T is polaroid. HP operators have SVEP. It is proved that if T∈B(X) has SVEP and R∈B(X) is a Riesz operator which commutes with T, then T+R satisfies generalized a-Browder's theorem. If, in particular, R is a quasi-nilpotent operator Q, then both T+Q and T∗+Q∗ satisfy generalized a-Browder's theorem; furthermore, if Q is injective, then also T+Q satisfies Weyl's theorem. If A∈B(X) is an algebraic operator which commutes with the polynomially HP operator T, then T+N is polaroid and has SVEP, f(T+N) satisfies generalized Weyl's theorem for every function f which is analytic on a neighbourhood of σ(T+N), and f∗(T+N) satisfies generalized a-Weyl's theorem for every function f which is analytic on, and constant on no component of, a neighbourhood of σ(T+N). 相似文献
117.
Avinash Bhardwaj David Richter Manojkumar Chellamuthu Jonathan P. Rothstein 《Rheologica Acta》2007,46(6):861-875
The effect of initial microstructural deformation, alignment, and morphology on the response of wormlike micelle solutions
in transient uniaxial extensional flows is investigated using a pre-shear device attached to a filament stretching rheometer.
In filament stretching experiments, increasing the strength and the duration of the pre-shear just before stretch is found
to delay the onset of strain hardening. In these experiments, the wormlike micelle solution filaments fail through a rupture
near the axial midplane. The value of the elastic tensile stress at rupture is found to decrease with increasing pre-shear
rate and duration. The most dramatic effects are observed at shear rates for which shear banding has been independently observed.
The reduction in the strain hardening suggests that pre-shear before filament stretching might break down the wormlike micelles
reducing their size before stretch. Strain hardening is also observed in capillary breakup rheometry experiments; however,
the pre-sheared wormlike micelle solutions strain harden faster, achieve larger steady-state extensional viscosities and an
increase in the extensional relaxation time with increasing shear rate and duration. The difference between the response of
the wormlike micelles in filament stretching and capillary breakup experiments demonstrates the sensitivity of these self-assembling
micelle networks to pre-conditioning. 相似文献
118.
考虑具有导子的李三系.由李三系和一个导子称为LietsDer对.定义系数在表示中的LietsDer对的上同调理论.研究LietsDer对的中心扩张.接下来,将形变理论推广到由李三系和导子构成LietsDer对上,它由带有系数的LietsDer对的上同调所支配. 相似文献
119.
120.