Certain Units in M2(Z) which are Uniquely Clean

K. N. Rajeswari*, Rafia Aziz

Abstract


An element of a ring is clean if it is the sum of an idempotent and a unit and it is uniquely clean if this representation is unique. Characterization for clean elements in has been given [2]. Using this characterization some sufficient conditions have been given for certain units to be uniquely clean.

Keywords: Uniquely clean, units, Diophantine equation.

2000 Mathematics Subject Classification: 16S50

Full Text:

PDF

Refbacks

  • There are currently no refbacks.


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2011-2024 Research Journal of Pure Algebra (RJPA)
Copyright Agreement & Authorship Responsibility		HTML Counter
Counter
https://journals.zetech.ac.ke/scatter-hitam/https://silasa.sarolangunkab.go.id/swal/https://sipirus.sukabumikab.go.id/storage/uploads/-/sthai/https://sipirus.sukabumikab.go.id/storage/uploads/-/stoto/https://alwasilahlilhasanah.ac.id/starlight-princess-1000/https://www.remap.ugto.mx/pages/slot-luar-negeri-winrate-tertinggi/https://waper.serdangbedagaikab.go.id/storage/sgacor/https://waper.serdangbedagaikab.go.id/public/images/qrcode/slot-dana/https://siipbang.katingankab.go.id/storage_old/maxwin/https://waper.serdangbedagaikab.go.id/public/img/cover/10k/https://waper.serdangbedagaikab.go.id/storage/app/https://waper.serdangbedagaikab.go.id/storage/idn/