On one sided ideals of a prime type
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- by Kwangil Koh PDF
- Proc. Amer. Math. Soc. 28 (1971), 321-329 Request permission
Abstract:
The notion of prime type for right ideals is analogous to that of prime ideal in a commutative ring, and the right dimension of the ring $R$ is defined using chains of right ideals of prime type. The meaning of zero right dimension, finite dimension for right primitive rings, and related topics are studied.References
- Carl Faith, Rings with ascending condition on annihilators, Nagoya Math. J. 27 (1966), 179–191. MR 193107
- Nathan Jacobson, Structure of rings, Revised edition, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, Providence, R.I., 1964. MR 0222106
- Kwangil Koh, On almost maximal right ideals, Proc. Amer. Math. Soc. 25 (1970), 266–272. MR 265393, DOI 10.1090/S0002-9939-1970-0265393-8
- Kwangil Koh, On some characteristic properties of self-injective rings, Proc. Amer. Math. Soc. 19 (1968), 209–213. MR 218398, DOI 10.1090/S0002-9939-1968-0218398-8
- Neal H. McCoy, The theory of rings, The Macmillan Company, New York; Collier Macmillan Ltd., London, 1964. MR 0188241
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 321-329
- MSC: Primary 16.20
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274488-5
- MathSciNet review: 0274488