•  
  •  
 

Turkish Journal of Mathematics

Authors

EBRAHIM HASHEMI

DOI

-

Abstract

Let R be an \alpha-rigid ring and R_0[[x;\alpha]] be the nearring of a formal skew power series in which addition and substitution are used as operations. It is shown that R is Rickart and any countable family of idempotents of R has a join in I(R) if and only if R_0[[x;\alpha]]\in R_{r1} if and only if R_0[[x;\alpha]]\in R_{\ell 1} if and only if R_0[[x;\alpha]]\in qR_{r2}. An example to show that, \alpha-rigid condition on R is not superfluous, is provided.

First Page

363

Last Page

372

Included in

Mathematics Commons

Share

COinS