scholarly journals Rationality problem for norm one tori in small dimensions

2019 ◽  
Vol 89 (322) ◽  
pp. 923-940 ◽  
Author(s):  
Sumito Hasegawa ◽  
Akinari Hoshi ◽  
Aiichi Yamasaki
Keyword(s):  
1998 ◽  
Vol 1998 (504) ◽  
pp. 1-28 ◽  
Author(s):  
Vladimir P. Platonov ◽  
Vladimir I. Chernousov

2011 ◽  
Vol 202 ◽  
pp. 83-106
Author(s):  
Shizuo Endo

AbstractWe consider the problem of whether the norm one torus defined by a finite separable field extensionK/kis stably (or retract) rational overk. This has already been solved for the case whereK/kis a Galois extension. In this paper, we solve the problem for the case whereK/kis a non-Galois extension such that the Galois group of the Galois closure ofK/kis nilpotent or metacyclic.


Dialogue ◽  
1997 ◽  
Vol 36 (4) ◽  
pp. 813-818
Author(s):  
Ishtiyaque Haji

The Rational and the Moral Order, a work of sweeping scope and depth, opens with three problems: the Rationality Problem, briefly, is that the following set is inconsistent, although each of its elements seems true: our conduct cannot be rationally justified unless it promotes our own good; moral conduct is rationally justified; but morality often requires that we do things that do not promote our own good. The Motivation Problem distills to this: can something be a reason for someone to do something without its actually motivating him to do so (the so-called “externalist” position), or is being a motivator a necessary condition of being a reason for that person (the “internalist position”)? Finally, the Sanction Problem notes that, although it seems plausible and generally accepted that immorality should be sanctioned, it seems neither plausible, nor is it generally accepted, that irrationality should be. Why this asymmetry? I restrict my attention, in what follows, to aspects of Baier's fascinating discussion on the Rationality Problem and the Motivation Problem.


2018 ◽  
Vol 07 (01) ◽  
pp. 7-9
Author(s):  
国淇 王
Keyword(s):  

2009 ◽  
Vol 49 (2) ◽  
pp. 359-380 ◽  
Author(s):  
Hidetaka Kitayama ◽  
Aiichi Yamasaki
Keyword(s):  

2018 ◽  
Vol 73 (3) ◽  
pp. 375-456 ◽  
Author(s):  
Yu. G. Prokhorov

2004 ◽  
Vol 181 (2) ◽  
pp. 321-352 ◽  
Author(s):  
Ming-Chang Kang

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