Article citationsMore>>
Ham, K., Jeon, Y., Kang, J., Kim, N., Lee, W., Lee, Y., Ryu, S. and Yang, H. (2008) IFP Rings and Near-IFP Rings. Journal of the Korean Mathematical Society, 45, 727-740.
https://doi.org/10.4134/JKMS.2008.45.3.727
has been cited by the following article:
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TITLE:
NC-Rings and Some Commutativity Conditions
AUTHORS:
S. Khalid Nauman, Najat M. Muthana
KEYWORDS:
NC-Rings, NC-Rngs, Semi-Projective-Morita-Contexts, Right Ck-Goldie Rings
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.9 No.2,
February
28,
2019
ABSTRACT: Sum of two nilpotent elements in a
ring may not be nilpotent in general, but for commutative rings this sum is
nilpotent. In between commutative and non-commutative rings there are several
types of rings in which this property holds.
For instance, reduced, NI, AI (or IFP), 2-primal, reversible and symmetric,
etc. We may term these types of rings as nearby commutative rings (in short
NC-rings). In this work we have studied properties and various
characterizations of such rings as well as rngs. As applications, we have
investigated some commutativity conditions by involving
semi-projective-Morita-contexts and right Ck-Goldie rings.