From Endomorphism Rings to Some Noteworthy Ideals in Categories of Modules

Author(s):  
Alberto Facchini
Keyword(s):  
2021 ◽  
Vol 18 (4) ◽  
Author(s):  
Manuel Cortés-Izurdiaga ◽  
Pedro A. Guil Asensio ◽  
D. Keskin Tütüncü ◽  
Ashish K. Srivastava
Keyword(s):  

Author(s):  
Claus Fieker ◽  
Tommy Hofmann ◽  
Sogo Pierre Sanon

2002 ◽  
Vol 67 (2) ◽  
pp. 635-648
Author(s):  
Xavier Vidaux

AbstractLet K and K′ be two elliptic fields with complex multiplication over an algebraically closed field k of characteristic 0. non k-isomorphic, and let C and C′ be two curves with respectively K and K′ as function fields. We prove that if the endomorphism rings of the curves are not isomorphic then K and K′ are not elementarily equivalent in the language of fields expanded with a constant symbol (the modular invariant). This theorem is an analogue of a theorem from David A. Pierce in the language of k-algebras.


1972 ◽  
Vol 23 (2) ◽  
pp. 250-262 ◽  
Author(s):  
Sheila Brenner
Keyword(s):  

1993 ◽  
Vol s3-67 (1) ◽  
pp. 127-158 ◽  
Author(s):  
C. J. B. Brookes ◽  
K. A. Brown

1995 ◽  
Vol 102 (2) ◽  
pp. 207-219 ◽  
Author(s):  
Fred Van Oystaeyen ◽  
Yinhuo Zhang
Keyword(s):  

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