FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 2, PAGES 791-794

A. A. Tuganbaev

Abstract

View as HTML
View as gif image
View as LaTeX source

```
Let
```$P$ be a prime ideal of a distributive
ring $A$ , and let $T$ be the set of all
elements $t\in A$ such that $t+P$ is a regular element of the ring $A/P$ .
Then for any elements $a\in A$ , $t\in T$ there exist elements $b_1,b_2\in
A$ , $u_1,u_2\in T$ such that $au_1=tb_1$ , $u_2a=b_2t$ . If either all
square-zero elements of $A$ are central or $A$ satisfies the maximum
conditions for right and left annihilators, then the classical two-sided
localization $A_P$ exists and is a distributive ring.

All articles are published in Russian.

Main page | Editorial board |

Instructions to authors | Contents of the journal |

Location: http://mech.math.msu.su/~fpm/eng/98/982/98227t.htm

Last modified: June 17, 1998