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Self-Injective Rings

Published online by Cambridge University Press:  20 November 2018

E.T. Wong and
R.E. Johnson
E.T. Wong
Affiliation:
Oberlin College, U.S.A.
R.E. Johnson
Affiliation:
Smith College, U.S.A.
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Historically, the first example of a ring of quotients was the quotient field of an integral domain. Later on, conditions were found under which a noncommutative integral domain has a quotient division ring. More recently, R.E. Johnson [4], Y. Utumi [5], and G.D. Findlay and J. Lambek [3] have discussed the existence and structure of a maximal ring of quotients of any ring.

The present paper uses the methods of Findlay and Lambek to recast the results of Johnson on the quotient ring of a ring with zero singular ideal. It is also shown that such a ring has a unique left-right maximal ring of quotients.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 2 , Issue 3 , 01 September 1959, pp. 167 - 173
Copyright
Copyright © Canadian Mathematical Society 1959

References

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