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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

Diagonal reduction of matrices over commutative semihereditary Bezout ring

 

Andry Gatalevych

Associate Professor
Faculty of Mechanics and Mathematics
Ivan Franko National University of L'viv

 

Abstract:

It is proven that every commutative semihereditary Bezout ring in which any regular element is Gelfand is an elementary divisor ring.

 

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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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