scholarly journals Flatness testing and torsion freeness of analytic tensor powers

2005 ◽  
Vol 289 (1) ◽  
pp. 148-160
Author(s):  
Janusz Adamus
Keyword(s):  
Torsion Freeness ◽  
Tensor Powers

scholarly journals Z-stability and infinite tensor powers of C∗-algebras

2009 ◽  
Vol 220 (2) ◽  
pp. 341-366 ◽  
Author(s):  
Marius Dadarlat ◽  
Andrew S. Toms
Keyword(s):  
C Algebras ◽  
Tensor Powers

scholarly journals Explicit forms of Wick tensor powers in general white noise spaces

2002 ◽  
Vol 31 (7) ◽  
pp. 413-420 ◽  
Author(s):  
ZhiyuanHuang Huang ◽  
Xiaoshan Hu ◽  
Xiangjun Wang
Keyword(s):  
White Noise ◽  
Random Variable ◽  
Nuclear Space ◽  
Infinitely Divisible ◽  
Gaussian Analysis ◽  
Tensor Powers

This paper is devoted to construction and investigation of explicit forms of Wick tensor powers in general white noise spaces. We give an extension of some objects and structure of Gaussian analysis to the case of more general white noise measures onE*(the dual of a nuclear spaceE), such that the random variable〈ω,ξ〉is infinitely divisible distributed for anyξ∈Eandω∈E*.

scholarly journals The non‐projective part of the tensor powers of a module

2019 ◽  
Vol 101 (2) ◽  
pp. 828-856 ◽  
Author(s):  
Dave Benson ◽  
Peter Symonds
Keyword(s):  
Tensor Powers

scholarly journals Torsion in tensor powers of modules

2015 ◽  
Vol 219 ◽  
pp. 113-125
Author(s):  
Olgur Celikbas ◽  
Srikanth B. Iyengar ◽  
Greg Piepmeyer ◽  
Roger Wiegand
Keyword(s):  
Local Ring ◽  
Complete Intersection ◽  
Tensor Products ◽  
Central Theme ◽  
Finitely Generated ◽  
Finitely Generated Module ◽  
Free Modules ◽  
Tensor Powers ◽  
Torsion Free ◽  
Nonzero Torsion

AbstractTensor products usually have nonzero torsion. This is a central theme of Auslander's 1961 paper; the theme continues in the work of Huneke and Wiegand in the 1990s. The main focus in this article is on tensor powers of a finitely generated module over a local ring. Also, we study torsion-free modulesNwith the property thatM ⊗RNhas nonzero torsion unlessMis very special. An important example of such a moduleNis the Frobenius powerpeRover a complete intersection domainRof characteristicp> 0.

scholarly journals Brouwer degree, equivariant maps and tensor powers

1998 ◽  
Vol 3 (3-4) ◽  
pp. 401-409 ◽  
Author(s):  
Z. Balanov ◽  
W. Krawcewicz ◽  
A. Kushkuley
Keyword(s):  
Differential Equations ◽  
Faithful Representation ◽  
Brouwer Degree ◽  
Symmetric Powers ◽  
Equivariant Maps ◽  
Tensor Powers

A construction of equivariant maps based on factorization through symmetric powers of a faithful representation is presented together with several examples of related equivariant maps. Applications to differential equations are also discussed.

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