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A Class of Prime Rings

Published online by Cambridge University Press:  20 November 2018

Kwangil Koh  and
A. C. Mewborn
Kwangil Koh
Affiliation:
North Carolina State University at Raleigh and the University of North Carolina at Chapel Hill
A. C. Mewborn
Affiliation:
North Carolina State University at Raleigh and the University of North Carolina at Chapel Hill
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If R is a ring and I is a right ideal of R then I is called faithful if R - I is a faithful right R-module, i.e. if { r ∊ R: Rr⊆ I} = (0). I is called irreducible [ 1 ] provided that if J1 and J2 are right ideals such that J1 ∩ J2 = I, then J1 or J2 = I. Let N(I){ r ∊ R: rI⊆ I} and [ I: a ] = { r ∊ R: ar⊆ I} for a ∊ R. We write (a)r for [(0): a ].

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 1 , April 1966 , pp. 63 - 72
Copyright
Copyright © Canadian Mathematical Society 1966

References

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