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Feckly reduced rings

Year 2015, Volume: 44 Issue: 2, 375 - 384, 01.04.2015

Abstract

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.

References

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Year 2015, Volume: 44 Issue: 2, 375 - 384, 01.04.2015

Abstract

References

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There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Burcu Ungor

Orhan Gurgun This is me

Sait Halicioglu

Abdullah Harmanci

Publication Date April 1, 2015
Published in Issue Year 2015 Volume: 44 Issue: 2

Cite

APA Ungor, B., Gurgun, O., Halicioglu, S., Harmanci, A. (2015). Feckly reduced rings. Hacettepe Journal of Mathematics and Statistics, 44(2), 375-384.
AMA Ungor B, Gurgun O, Halicioglu S, Harmanci A. Feckly reduced rings. Hacettepe Journal of Mathematics and Statistics. April 2015;44(2):375-384.
Chicago Ungor, Burcu, Orhan Gurgun, Sait Halicioglu, and Abdullah Harmanci. “Feckly Reduced Rings”. Hacettepe Journal of Mathematics and Statistics 44, no. 2 (April 2015): 375-84.
EndNote Ungor B, Gurgun O, Halicioglu S, Harmanci A (April 1, 2015) Feckly reduced rings. Hacettepe Journal of Mathematics and Statistics 44 2 375–384.
IEEE B. Ungor, O. Gurgun, S. Halicioglu, and A. Harmanci, “Feckly reduced rings”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, pp. 375–384, 2015.
ISNAD Ungor, Burcu et al. “Feckly Reduced Rings”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 2015), 375-384.
JAMA Ungor B, Gurgun O, Halicioglu S, Harmanci A. Feckly reduced rings. Hacettepe Journal of Mathematics and Statistics. 2015;44:375–384.
MLA Ungor, Burcu et al. “Feckly Reduced Rings”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, 2015, pp. 375-84.
Vancouver Ungor B, Gurgun O, Halicioglu S, Harmanci A. Feckly reduced rings. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):375-84.