Extensions of Valuation Domains and Going-up

2021 ◽  
Author(s):  
Shai Sarussi
Keyword(s):  
Valuation Domains

On inert modules over valuation domains

2019 ◽  
Vol 79 (1) ◽  
pp. 120-133
Author(s):  
Luigi Salce
Keyword(s):  
Valuation Domains

scholarly journals An Independence Result on Cotorsion Theories over Valuation Domains

2001 ◽  
Vol 243 (1) ◽  
pp. 294-320 ◽  
Author(s):  
S Bazzoni ◽  
L Salce
Keyword(s):  
Independence Result ◽  
Valuation Domains

scholarly journals On complete integral closure and Archimedean valuation domains

1996 ◽  
Vol 61 (3) ◽  
pp. 377-380 ◽  
Author(s):  
Robert Gilmer
Keyword(s):  
Integral Domain ◽  
Integral Closure ◽  
Extension Field ◽  
Quotient Field ◽  
Valuation Domains ◽  
Complete Integral Closure

AbstractSuppose D is an integral domain with quotient field K and that L is an extension field of K. We show in Theorem 4 that if the complete integral closure of D is an intersection of Archimedean valuation domains on K, then the complete integral closure of D in L is an intersection of Archimedean valuation domains on L; this answers a question raised by Gilmer and Heinzer in 1965.

scholarly journals Quasi-valuations and algebras over valuation domains

2019 ◽  
Vol 47 (4) ◽  
pp. 1796-1817 ◽  
Author(s):  
Shai Sarussi
Keyword(s):  
Valuation Domains

scholarly journals On divisible modules over valuation domains

1987 ◽  
Vol 110 (2) ◽  
pp. 498-506 ◽  
Author(s):  
L Fuchs
Keyword(s):  
Valuation Domains ◽  
Divisible Modules
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