Standard bases and non-noetherianity: Non-commutative polynomial rings

2006 ◽  
pp. 98-109 ◽  
Author(s):  
Teo Mora
Keyword(s):  
Polynomial Rings ◽  
Standard Bases

scholarly journals STANDARD BASES OVER RINGS

2010 ◽  
Vol 20 (07) ◽  
pp. 953-968 ◽  
Author(s):  
AFSHAN SADIQ
Keyword(s):  
Noetherian Ring ◽  
Linear Equations ◽  
Polynomial Rings ◽  
Commutative Noetherian Ring ◽  
Standard Bases

The theory of standard bases in polynomial rings with coefficients in a ring R with respect to local orderings is developed. R is a commutative Noetherian ring with 1 and we assume that linear equations are solvable in R.

scholarly journals Standard bases in mixed power series and polynomial rings over rings

2017 ◽  
Vol 79 ◽  
pp. 119-139 ◽  
Author(s):  
Thomas Markwig ◽  
Yue Ren ◽  
Oliver Wienand
Keyword(s):  
Power Series ◽  
Polynomial Rings ◽  
Standard Bases ◽  
Mixed Power
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