RADICALS AND IDEMPOTENTS III: <i>q</i>-CENTRAL IDEMPOTENTS
Abstract Previously [‘Radicals and idempotents I, II’, Comm. Alg. 49 (1) (2021), 73–84 and 50 (11) (2022), 4791–4804], we have studied the interaction between radicals of rings and idempotents in general or those of particular types, for example, left semicentral. Here we carry out similar investigations for q -central idempotents, that is, those idempotents e satisfying the condition $(ea-eae)(be-ebe) = 0$ for all a , b .
Authors
- B. J. Gardner (ORCID: https://orcid.org/0000-0003-1411-8379)
- E. P. Cojuhari (ORCID: https://orcid.org/0000-0003-0419-0369)
Institutions
- University of Tasmania (AU)
- Technical University of Moldova (MD)
Publication Details
- Journal
- Bulletin of the Australian Mathematical Society
- Published
- 2024-11-20
- DOI
- https://doi.org/10.1017/s0004972724000649
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00