Certain polynomial identities and commutativity of rings

Mohammad Ashraf

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 1, page 59-65
  • ISSN: 0139-9918

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Ashraf, Mohammad. "Certain polynomial identities and commutativity of rings." Mathematica Slovaca 50.1 (2000): 59-65. <http://eudml.org/doc/34506>.

@article{Ashraf2000,
author = {Ashraf, Mohammad},
journal = {Mathematica Slovaca},
keywords = {associative rings; centers; nilpotent elements; -unital rings; commutativity theorems; commutator constraints},
language = {eng},
number = {1},
pages = {59-65},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Certain polynomial identities and commutativity of rings},
url = {http://eudml.org/doc/34506},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Ashraf, Mohammad
TI - Certain polynomial identities and commutativity of rings
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 1
SP - 59
EP - 65
LA - eng
KW - associative rings; centers; nilpotent elements; -unital rings; commutativity theorems; commutator constraints
UR - http://eudml.org/doc/34506
ER -

References

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  1. ASHRAF M.-QUADRI,., On the commutativity of the semiprime rings, Bull Austral. Math. Soc. 38 (1988), 267-271. (1988) MR0969917
  2. BELL H. E., On some commutatitvity theorems of Hersteir, Arch. Math. (Basel) 24 (1973), 34-38. (1973) MR0320090
  3. HERSTEIN I. N., Two remarks on commutativity of rings, Canad. J. Math. 7 (1957), 411-412. (1957) MR0071405
  4. HIRANO Y.-KOBAYASHI Y.-TOMINAGA H., Some polynomial identities and commutativity of s-unital rings, Math. J. Okayama Univ. 29 (1982), 7-13. (1982) Zbl0506.16025MR0660049
  5. JACOBSON N., Structure theory of algebraic algebras of bounded degree, Ann. of Math. 46 (1945), 695-707. (1945) MR0014083
  6. JACOBSON N., Structure of rings, In: Amer. Math. Soc Colloq. Publ. 37, Amer. Math. Soc., Providence, RI, 1964. (1964) MR0222106
  7. KEZLAN T. P., A note on commutativity if semi prime PI-rings, Math. Japonica 27 (1982), 267-268. (1982) MR0655230
  8. KOMATSU H., A commutativity theorem for rings-II, Hiroshima Math. J. 22 (1985), 811-814. (1985) Zbl0575.16017MR0815449
  9. NICHOLSON W. K.-YAQUB A., A commutativity theorem for rings and groups, Canad. Math. Bull. 22 (1979), 419-423. (1979) Zbl0605.16020MR0563755

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