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"I liked the algebraic way of looking at things.
I’m additionally fascinated when the algebraic method is applied to infinite objects”.

Irwing Kaplansky

Endomorphism rings of finitely presented modules and weak K1 functor

 

Olexiy Sorokin

Department of Algebra and Logic
Faculty of Mechanics and Mathematics
Ivan Franko National University of L'viv


 

Abstract:

We will discuss the relationships between the endomorphism rings of finitely presented R-modules and matrix rings’ quotients, the exactness of some finitely presented modules category. All proved facts will be used in order to construct the analogue of Whitehead group K1(R).

 

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Department of Algebra and Logic
Faculty of Mechanics and Mathematics
Ivan Franko National University of L'viv
1 Universytetska Str., 79000 Lviv, Ukraine
Tel: (+380 322) 394 172
E-mail: oromaniv at franko.lviv.ua

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