ON RINGS IN WHICH ALL UNITS CAN BE PRESENTED IN THE FORM 1+eR(1-e)
The aim of the present paper is to characterize associative rings R with unity in which 1+eR(1-e) in terms of some important class of rings in the literature (for example, NR-rings, UU-rings, UJ-rings, UR-rings, exchange rings, 2-primal rings), where $e^2=e\in\ R$ and $U(R)$ is the set of units of R.
Anahtar Kelimeler:
NR-rings, UU-rings, UJ-rings, UR-rings, exchange rings.
ON RINGS IN WHICH ALL UNITS CAN BE PRESENTED IN THE FORM 1+eR(1-e)
The aim of the present paper is to characterize associative rings R with unity in which 1+eR(1-e) in terms of some important class of rings in the literature (for example, NR-rings, UU-rings, UJ-rings, UR-rings, exchange rings, 2-primal rings), where e2=e∈ R and U(R) is the set of units of R.
Keywords:
NR-rings, UU-rings, UJ-rings, UR-rings, Exchange rings,
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- ISSN: 2667-419X
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2010
- Yayıncı: Eskişehir Teknik Üniversitesi
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ON RINGS IN WHICH ALL UNITS CAN BE PRESENTED IN THE FORM 1+eR(1-e)