Locally split submodules and modules with perfect endomorphism rings

1990 ◽  
pp. 1-6 ◽  
Author(s):  
Goro Azumaya
Keyword(s):  
Endomorphism Rings

scholarly journals Endomorphism Rings Via Minimal Morphisms

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

On the computation of the endomorphism rings of abelian surfaces

2021 ◽  
Author(s):  
Claus Fieker ◽  
Tommy Hofmann ◽  
Sogo Pierre Sanon
Keyword(s):  
Abelian Surfaces ◽  
Endomorphism Rings

Multiplication complexe et équivalence élémentaire dans le langage des corps (Complex multiplication and elementary equivalence in the language of fields)

2002 ◽  
Vol 67 (2) ◽  
pp. 635-648
Author(s):  
Xavier Vidaux
Keyword(s):  
Function Fields ◽  
Complex Multiplication ◽  
Closed Field ◽  
Constant Symbol ◽  
Endomorphism Rings ◽  
Modular Invariant ◽  
Elementary Equivalence ◽  
Algebraically Closed Field

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.

scholarly journals Some modules with nearly prescribed endomorphism rings

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

Injective Modules, Induction Maps and Endomorphism Rings

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

scholarly journals H-module endomorphism rings

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