On a result of Osborn
HTML articles powered by AMS MathViewer
- by G. P. Wene PDF
- Proc. Amer. Math. Soc. 69 (1978), 11-15 Request permission
Abstract:
The structure of certain semiprimitive rings with involution $\ast$ is determined by imposing conditions on the set of $\ast$-symmetric elements and limiting the number of orthogonal $\ast$-symmetric idempotents.References
- I. N. Herstein, Noncommutative rings, Carus Mathematical Monographs, vol. 15, Mathematical Association of America, Washington, DC, 1994. Reprint of the 1968 original; With an afterword by Lance W. Small. MR 1449137
- Nathan Jacobson, Structure of rings, Revised edition, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, Providence, R.I., 1964. MR 0222106
- N. Jacobson and C. E. Rickart, Homomorphisms of Jordan rings of self-adjoint elements, Trans. Amer. Math. Soc. 72 (1952), 310–322. MR 46346, DOI 10.1090/S0002-9947-1952-0046346-5
- J. Marshall Osborn, Jordan and associative rings with nilpotent and invertible elements, J. Algebra 15 (1970), 301–308. MR 262316, DOI 10.1016/0021-8693(70)90058-X
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 11-15
- MSC: Primary 16A28
- DOI: https://doi.org/10.1090/S0002-9939-1978-0466201-X
- MathSciNet review: 0466201