The local algebra of a map and the Weierstrass preparation theorem

2012 ◽  
pp. 72-83
Author(s):  
V. I. Arnold ◽  
S. M. Gusein-Zade ◽  
A. N. Varchenko
Keyword(s):  
Local Algebra ◽  
Weierstrass Preparation ◽  
Preparation Theorem

The local algebra of a map and the Weierstrass preparation theorem

1985 ◽  
pp. 72-83
Author(s):  
V. I. Arnold ◽  
S. M. Gusein-Zade ◽  
A. N. Varchenko
Keyword(s):  
Local Algebra ◽  
Weierstrass Preparation ◽  
Preparation Theorem

scholarly journals Rings of convergent power series and Weierstrass Preparation Theorem

1981 ◽  
Vol 81 ◽  
pp. 73-78
Author(s):  
Takasi Sugatani
Keyword(s):  
Power Series ◽  
Integral Domain ◽  
Multiplicative Group ◽  
Convergent Power Series ◽  
Weierstrass Preparation ◽  
Preparation Theorem

Let B be a B-ring with a nonarchimedean valuation | |, i.e., B is an integral domain satisfying the following conditions: (i) B is bounded (| a | ≤ 1 for every a ∊ B), (ii) the boundary forms a multiplicative group.

scholarly journals Fibers of flat morphisms and Weierstrass preparation theorem

2014 ◽  
Vol 411 ◽  
pp. 337-355 ◽  
Author(s):  
Trung Cườ̀ng Đoàn
Keyword(s):  
Weierstrass Preparation ◽  
Preparation Theorem
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