Polynomial identities and radicals

B. J. Gardner

Compositio Mathematica (1977)

  • Volume: 35, Issue: 3, page 269-279
  • ISSN: 0010-437X

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Gardner, B. J.. "Polynomial identities and radicals." Compositio Mathematica 35.3 (1977): 269-279. <http://eudml.org/doc/89351>.

@article{Gardner1977,
author = {Gardner, B. J.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {269-279},
publisher = {Noordhoff International Publishing},
title = {Polynomial identities and radicals},
url = {http://eudml.org/doc/89351},
volume = {35},
year = {1977},
}

TY - JOUR
AU - Gardner, B. J.
TI - Polynomial identities and radicals
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 3
SP - 269
EP - 279
LA - eng
UR - http://eudml.org/doc/89351
ER -

References

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  1. [1] S.A. Amitsur: A general theory of radicals II. Amer. J. Math.76 (1954) 100-125. Zbl0055.02604MR59256
  2. [2] V.A. Andrunakievich: Radikaly assotsiativnykh kolets I. Mat. Sb.44(86) (1958) 179-212. [English translation: Amer. Math. Soc. Transl. (2) 52, 95-128]. Zbl0199.07603
  3. [3] E.P. Armendariz and J.W. Fisher: Regular PI-rings. Proc. Amer. Math. Soc.39 (1973) 247-251. Zbl0264.16010MR313305
  4. [4] E.P. Armendariz and W.G. Leavitt: The hereditary property in the lower radical construction. Canad. J. Math.20 (1968) 474-476. Zbl0165.04903MR223398
  5. [5] R.C. Courter: Rings all of whose factor rings are semiprime. Canad. Math. Bull.12 (1969) 417-426. Zbl0185.08801MR254099
  6. [6] N.J. Divinsky: Rings and radicals. London, Allen and Unwin, 1965. Zbl0138.26303MR197489
  7. [7] P.A. Freidman: K teorii radikala assotsiativnovo kol'tsa. Isv. Vyssh. Ucheb. Zaved. Mat.3 (1958) 225-232. Zbl0121.03901MR132761
  8. [8] P.A. Freidman: O kol'tsakh, assotsiativnykh po modulyu svoevo radikala. Ural. Gos. Univ. Mat. Zap.5 (1965) 67-72. Zbl0296.17001MR200317
  9. [9] B.J. Gardner: Radicals of abelian groups and associative rings. Acta Math. Acad. Sci. Hungar.24 (1973) 259-268. Zbl0234.16003MR323817
  10. [10] B.J. Gardner: On the scarcity of nilpotent radical classes. Annales Univ. Sci. Budapest. Eötvös Sect. Math.16 (1973) 23-24. Zbl0246.16005MR349731
  11. [11] B.J. Gardner: Some aspects of T-nilpotence. Pacific J. Math.53 (1974) 117-130. Zbl0253.16009MR360667
  12. [12] B.J. Gardner: Semi-simple radical classes of algebras and attainability of identities. Pacific J. Math.61 (1975) 401-416. Zbl0308.17001MR399190
  13. [13] B.J. Gardner and P.N. Stewart: On semi-simple radical classes. Bull. Austral. Math. Soc.13 (1975) 349-353. Zbl0307.16008MR396643
  14. [14] S.A. Jennings: Central chains of ideals in an associative ring. Duke Math. J.9 (1942) 341-355. Zbl0060.07102MR6995
  15. [15] W.G. Leavitt: Sets of radical classes. Publ. Math. Debrecen.14 (1967) 321-324. Zbl0189.03404MR227216
  16. [16] L.C.A. Van Leeuwen, C. Roos and R. Wiegandt: A characterization of semisimple classes. J. Austral. Math. Soc. Series A. (to appear). Zbl0356.16003MR444695
  17. [17] J. Levitzki: A theorem on polynomial identities. Proc. Amer. Math. Soc.1 (1950) 334-341. Zbl0037.30604MR35758
  18. [18] L. Márki, P.N. Stewart and R. Wiegandt: Radicals and decomposability of semigroups and rings. Annales Univ. Sci. Budapest Eötvös Sect. Math.18 (1975) 27-36. Zbl0331.16007MR427357
  19. [19] J.M. Osborn: Varieties of algebras. Advances in Math.8 (1972) 163-369. Zbl0232.17001MR289587
  20. [20] C. Procesi: Rings with polynomial identities. New York, Marcel Dekker, 1973. Zbl0262.16018MR366968
  21. [21] A.D. Sands: Strong upper radicals. Quart. J. Math. Oxford. 27 (1976) 21-24. Zbl0316.16010MR396647
  22. [22] M.F. Smiley: Application of a radical of Brown and McCoy to non-associative rings. Amer. J. Math.72 (1950) 93-100. Zbl0035.01802MR32591
  23. [23] P.N. Stewart: Semi-simple radical classes. Pacific J. Math.32 (1970) 249-254. Zbl0191.31903MR255593
  24. [24] A. Suliński, T. Anderson and N. Divinsky: Lower radical properties for associative and alternative rings. J. London Math. Soc.41 (1966) 417-424. Zbl0146.26104MR195899
  25. [25] T. Tamura: Attainability of systems of identities on semigroups. J. Algebra.3 (1966) 261-276. Zbl0146.02702MR190255

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