Advanced search
Publication Cover
Communications in Algebra Volume 27, 1999 - Issue 6
Submit an article Journal homepage
32
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Projections and power reduction property for generalized identities of symmetric elements

Tsiu-Kwen Lee Department of Mathematics, National Taiwan University, Taipei, 10764, Taiwan E-mail: mailto:[email protected],[email protected]
&
Ching-Yueh Pan Department of Mathematics, National Taiwan University, Taipei, 10764, Taiwan E-mail: mailto:[email protected],[email protected]
Pages 2521-2545 | Received 01 Nov 1997, Published online: 27 Jun 2007

References

  • Beidar , K.I. 1977 . Rings with generalized identities, I . Vestnik Moskov.Univ. Ser I Math. Meh , 32 : 19 – 26 . Engl. Tranl. Moscow Univ. Math. Bull
  • Beidar , K.I. 1978 . Rings of quotients of semiprime rings . Vestnik Moskov.Univ. Ser I Math. Meh , 33 : 36 – 42 . Engl. Transl. Moscow Univ. Math. Bull
  • Beidar , K.I. , Martindale , W.S. and Mikhalev , A.V. 1996 . Rings with generalized identities , Basel, , Hong Kong : Marcel Dekker .
  • Beidar , K.I. , Mihhalev , A.V. and Salavova , C. 1981 . Generalized identities and semiprime rings with involution . Math. Z , 178 : 37 – 62 .
  • Chuang , C.L. GPIs having coefficients in Utumi quotient rings . Proc. Amer. Math. Soc . Vol. 103 , pp. 723 – 728 .
  • Chuang , C.L. and Lee , P.H. 1979 . Idempotents in simple rings . J. Algebra , 56 : 510 – 515 .
  • Erickson , T.S. 1972 . The Lie structure in prime rings with involution . J. Algebra , 21 : 523 – 534 .
  • Erickson , T.S. , Martindale , W.S. and Osborn , J. 1975 . Primz nonasso-ciative algebras . Pacific J. Math , 60 : 49 – 63 .
  • Formanek , E. 1974 . Noetherian Pl-rings . Comm. Algebra , 1 : 79 – 86 .
  • Harris , B. 1958 . Commutators in division rings . Proc. Amer. Math. Soc , 9 : 628 – 630 .
  • Herstein , I.N. 1969 . Topics in ring theory , Chicago : Univ. of Chicago Press .
  • Herstein , I.N. 1976 . Rings with involution , Chicago : Univ. of Chicago Press .
  • Lanski , C. 1978 . Invariant submodules in semiprime rings . Comm. Algebra , 6 : 75 – 96 .
  • Lanski , C. 1978 . Unitary invariance in algebraic algebras . Trans. Amer. Math. Soc , 245 : 139 – 146 .
  • Lanski , C. 1978 . Invarint subrings in rings with involution . Can. J. Math , 30 : 85 – 94 .
  • Lanski , C. and Montgomery , S. 1972 . Lie structure of prime rings of characteristic 2 . Pacific J. Math , 42 : 117 – 136 .
  • Lee , P.H. and Lee , T.K. 1985 . Projections in simple Artinian rings . Chinese J. Math , 13 : 15 – 21 .
  • Lee , P.H. and Wong , T.L. 1995 . Derivations cocentralizing Lie ideals . Bull. Inst. Math. Acad. Sinica , 23 : 1 – 5 .
  • Lee , T.K. 1985 . On derivations of prime rings with involution(I) . Chinese J. Math , 13 : 179 – 186 .
  • Lee , T.K. 1986 . On derivations of prime rings with involution(II) . Bull. Inst. Math. Acad. Sinica , 14 : 365 – 375 .
  • Lee , T.K. 1995 . *-differential identities of semiprime rings with involution . Bull. Inst. Math. Acad. Sinica , 23 : 203 – 227 .
  • Lee , T.K. 1996 . Power reduction property for generalized identities of onesided ideals . Algebra Colloquium , 3 : 19 – 24 .
  • Martindale , W.S. 1969 . III Prime rings satisfying a generalized polynomial identity . J. Algebra , 12 : 576 – 584 .
  • Wang , S.R. 1987 . “ The subspaces spanned by the symmetric idempotents in a simple Artinian ring ” . In Master thesis , National Taiwan University .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.