Menu

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

Irwing Kaplansky

Rings almost clean range 1

Bogdan Zabavsky

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

 

Abstract:

We introduce the notion a ring of a clean range 1 and a ring almost clean range 1.

Theоrem 1. Commutative ring of stable range 1 is a ring of clean range 1

There is an example of a rings of clean range 1, which is not a rings of stable range 1

Theоrem 2. Commutative Bezout ring of stable range 2 is an elementary divisors ring iff it is a ring almost clean range 1

 

Коментарі (0)

Rated 0 out of 5 based on 0 voters
There are no comments posted here yet

Залиште свій коментар

Posting comment as a guest. Sign up or login to your account.
Вкладення (0 / 3)
Share Your Location
back to top
Bookmaker with best odds http://wbetting.co.uk review site.

links

links

contacts us

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

Photo gallery 2013