Algebras which are nearly finite dimensional and their identities
Rent the article at a discountRent now
* Final gross prices may vary according to local VAT.Get Access
Suppose that all the nonzero one-sided or two-sided ideals of an algebra have finite codimension. To what extent must the algebra be p.i. or primitive?
- D. R. Farkas,Semisimple representations and affine rings, Proceedings of the American Mathematical Society101 (1987), 237–238. CrossRef
- J. W. Fisher and R. L. Snider,Prime von Neumann regular rings and primitive group algebras, Proceedings of the American Mathematical Society44 (1974), 244–250. CrossRef
- M. J. Greenberg,Lectures on Forms in Many Variables, W.A. Benjamin, New York, 1969.
- J. C. McConnell and J. C. Robson,Noncommutative Noetherian Rings, Wiley-Interscience, Chichester, 1987.
- D. S. Passman and W. V. Temple,Representations of the Gupta-Sidki group, Proceedings of the American Mathematical Society124 (1996), 1403–1410. CrossRef
- S. Sidki,A primitive ring associated to a Burnside 3-group, Journal of the London Mathematical Society (2)55 (1997), 55–64. CrossRef
- L. W. Small and R. B. Warfield,Prime affine algebras of Gelfand-Kirillov dimension one, Journal of Algebra91 (1984), 386–389. CrossRef
- U. Vishne,Primitive algebras with arbitrary Gelfand-Kirillov dimension, Journal of Algebra211 (1999), 150–158. CrossRef
- Algebras which are nearly finite dimensional and their identities
Israel Journal of Mathematics
Volume 127, Issue 1 , pp 245-251
- Cover Date
- Print ISSN
- Online ISSN
- Additional Links
- Industry Sectors