Abstract
Lee and Zhou introduced the clean index of rings in 2004. Motivated by this work, Basnet and Bhattacharyya introduced both the weak clean index of rings and the nil clean index of rings and Cimpean and Danchev introduced the weakly nil clean index of rings. In this work, we calculate each of these indices for the rings ℤ/nℤ and matrix rings with entries in ℤ/nℤ. A generalized index is also introduced.
Degree
PhD
College and Department
Physical and Mathematical Sciences; Mathematics
Rights
http://lib.byu.edu/about/copyright/
BYU ScholarsArchive Citation
Schoonmaker, Benjamin L., "Clean Indices of Common Rings" (2018). Theses and Dissertations. 7027.
https://scholarsarchive.byu.edu/etd/7027
Date Submitted
2018-11-01
Document Type
Dissertation
Handle
http://hdl.lib.byu.edu/1877/etd10400
Keywords
clean rings, clean index, weak clean rings, nil-clean rings, nil clean index
Language
english