Araştırma Makalesi
Yıl 2015,
Cilt: 44 Sayı: 2, 375 - 384, 01.04.2015
Öz
Let R be a ring with identity and J(R) denote the Jacobson radical of
R. In this paper, we introduce a new class of rings called feckly reduced
rings. The ring R is called feckly reduced if R/J(R) is a reduced ring.
We investigate relations between feckly reduced rings and other classes
of rings. We obtain some characterizations of being a feckly reduced
ring. It is proved that a ring R is feckly reduced if and only if every
cyclic projective R-module has a feckly reduced endomorphism ring.
Among others we show that every left Artinian ring is feckly reduced
if and only if it is 2-primal, R is feckly reduced if and only if T(R, R)
is feckly reduced if and only if R[x]/ < $x^{2}$ > is feckly reduced.
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Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Matematik |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Nisan 2015 |
| Yayımlandığı Sayı | Yıl 2015 Cilt: 44 Sayı: 2 |