Volume : 3, Issue : 2, February - 2014
NUCLEI EQUALS THE CENTER IN (–1,1) RING
K. Jayalakshmi, K. Haribabu
Abstract :
In a semiprime 2,3-torsion free (-1,1) ring left nucleus equals the center. If the ring is prime and <Alt> is right nilpotent then right nucleus equals to the nucleus. Also if R is without non-zero trivial left ideals then either R is associative or right nucleus is equal to the center
Keywords :
(–1
1) ring
right nucleus
left nucleus
nucleus
alternative nucleus
alternative ideal.
Article:
Download PDF Journal DOI : 10.15373/2249555XCite This Article:
K.Jayalakshmi, K.Haribabu NUCLEI EQUALS THE CENTER IN (-1,1) RING Global Journal For Research Analysis, Vol:III, Issue:II Feb 2014