f -radical extensions of rings

Jeffrey Bergen; Antonio Giambruno

Rendiconti del Seminario Matematico della Università di Padova (1987)

  • Volume: 77, page 125-133
  • ISSN: 0041-8994

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Bergen, Jeffrey, and Giambruno, Antonio. "$f$-radical extensions of rings." Rendiconti del Seminario Matematico della Università di Padova 77 (1987): 125-133. <http://eudml.org/doc/108054>.

@article{Bergen1987,
author = {Bergen, Jeffrey, Giambruno, Antonio},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {polynomial identity; multilinear homogeneous polynomial; f-radical extension; center; power-central valued; division ring; domain; automorphism},
language = {eng},
pages = {125-133},
publisher = {Seminario Matematico of the University of Padua},
title = {$f$-radical extensions of rings},
url = {http://eudml.org/doc/108054},
volume = {77},
year = {1987},
}

TY - JOUR
AU - Bergen, Jeffrey
AU - Giambruno, Antonio
TI - $f$-radical extensions of rings
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1987
PB - Seminario Matematico of the University of Padua
VL - 77
SP - 125
EP - 133
LA - eng
KW - polynomial identity; multilinear homogeneous polynomial; f-radical extension; center; power-central valued; division ring; domain; automorphism
UR - http://eudml.org/doc/108054
ER -

References

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  1. [1] B. Felzenswalb - A. Giambruno, Centralizers and multilinear polynomials in noncommutative rings, J. London Math. Soc., 19 (1979), pp. 417-428. Zbl0397.16025MR540054
  2. [2] B. Felzenszwalb - A. Giambruno, Periodic and nil polynomials in rings, Canad. Math. Bull., 23 (1980), pp. 473-476. Zbl0462.16007MR602605
  3. [3] A. Giambruno, Rings radical over P.I. subrings, Rend. Mat., 13 (1980), pp. 105-113. Zbl0452.16010MR590736
  4. [4] 1 N. Herstein - C. PROCESI - M. SCHACHER, Algebraic valued functions on noncommutative rings, J. Algebra, 36 (1975), pp. 128-150. Zbl0311.16017MR374185
  5. [5] W.S. Martindale, Prime rings satisfying a generalized polynomial identity, J. Algebra, 12 (1969), pp. 576-584. Zbl0175.03102MR238897
  6. [6] L.H. Rowen, General polynomial identities II, J. Algebra, 38 (1976), pp. 380-392. Zbl0324.16016MR463235
  7. [7] M. Smith, Rings with an integral element whose centralizer satisfies a polynomial identity, Duke Math. J., 42 (1975), pp. 137-149. Zbl0336.16020MR399156

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