$KD_\infty$ is a CS-algebra
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- by S. K. Jain, P. Kanwar, S. Malik and J. B. Srivastava PDF
- Proc. Amer. Math. Soc. 128 (2000), 397-400 Request permission
Abstract:
In this paper, it is shown that the group algebra $KD_\infty$ is right CS if and only if $char(K)\neq 2$. Moreover, when $char(K)\neq 2$, then $KD_\infty$ is also CS as a module over its center.References
- Nguyen Viet Dung, Dinh Van Huynh, Patrick F. Smith, and Robert Wisbauer, Extending modules, Pitman Research Notes in Mathematics Series, vol. 313, Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1994. With the collaboration of John Clark and N. Vanaja. MR 1312366
- Irving Kaplansky, Commutative rings, Allyn and Bacon, Inc., Boston, Mass., 1970. MR 0254021
- Joachim Lambek, Lectures on rings and modules, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1966. With an appendix by Ian G. Connell. MR 0206032
- J. C. McConnell and J. C. Robson, Noncommutative Noetherian rings, Pure and Applied Mathematics (New York), John Wiley & Sons, Ltd., Chichester, 1987. With the cooperation of L. W. Small; A Wiley-Interscience Publication. MR 934572
- Donald S. Passman, The algebraic structure of group rings, Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons], New York-London-Sydney, 1977. MR 0470211
- Donald S. Passman, Infinite group rings, Pure and Applied Mathematics, vol. 6, Marcel Dekker, Inc., New York, 1971. MR 0314951
- Louis H. Rowen, Ring theory. Vol. I, Pure and Applied Mathematics, vol. 127, Academic Press, Inc., Boston, MA, 1988. MR 940245
- Saunders MacLane and O. F. G. Schilling, Infinite number fields with Noether ideal theories, Amer. J. Math. 61 (1939), 771β782. MR 19, DOI 10.2307/2371335
Additional Information
- S. K. Jain
- Affiliation: Department of Mathematics, Ohio University, Athens, Ohio 45701
- MR Author ID: 199020
- Email: jain@math.ohiou.edu
- P. Kanwar
- Address at time of publication: Division of Mathematics and Computer Science, Truman State University, Kirksville, Missouri 63501
- Email: pkanwar@math.ohiou.edu
- S. Malik
- Affiliation: Department of Mathematics, Hindu College, Delhi-110007, India
- Email: sbm@csec.ernet.in
- J. B. Srivastava
- Affiliation: Department of Mathematics, Indian Institute of Technology, New Delhi-110016, India
- Email: jbsrivas@maths.iitd.ernet.in
- Received by editor(s): April 10, 1998
- Published electronically: July 8, 1999
- Communicated by: Ken Goodearl
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 397-400
- MSC (1991): Primary 16S14, 13B21, 13C10, 13F05
- DOI: https://doi.org/10.1090/S0002-9939-99-05095-9
- MathSciNet review: 1636958