Turkish Journal of Mathematics
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.
DOI
-
Keywords
Annihilator conditions; Nearrings; Skew power series; Baer rings; \alpha-rigid rings; Rickart rings
First Page
363
Last Page
372
Recommended Citation
HASHEMI, E (2008). Rickart-type Annihilator Conditions on Formal Power Series. Turkish Journal of Mathematics 32 (4): 363-372. https://doi.org/-
