Jordan algebras and mutation algebras. homotopy and von Neumann regularity

Santos Gonzales Jimenez

Annales scientifiques de l'Université de Clermont. Mathématiques (1991)

  • Volume: 97, Issue: 27, page 177-191
  • ISSN: 0249-7042

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Gonzales Jimenez, Santos. "Jordan algebras and mutation algebras. homotopy and von Neumann regularity." Annales scientifiques de l'Université de Clermont. Mathématiques 97.27 (1991): 177-191. <http://eudml.org/doc/80584>.

@article{GonzalesJimenez1991,
author = {Gonzales Jimenez, Santos},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {-mutations; homotopy; von Neumann regularity; idempotent ring; order relation},
language = {eng},
number = {27},
pages = {177-191},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Jordan algebras and mutation algebras. homotopy and von Neumann regularity},
url = {http://eudml.org/doc/80584},
volume = {97},
year = {1991},
}

TY - JOUR
AU - Gonzales Jimenez, Santos
TI - Jordan algebras and mutation algebras. homotopy and von Neumann regularity
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1991
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 97
IS - 27
SP - 177
EP - 191
LA - eng
KW - -mutations; homotopy; von Neumann regularity; idempotent ring; order relation
UR - http://eudml.org/doc/80584
ER -

References

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  3. 3 A. Albert, Power-associative rings, Trans. AMS64, 552-593, 1948. Zbl0033.15402MR27750
  4. 4 Bruck, Contributions to the theory of loops, Trans., MAS 60, 245-354, 1946. Zbl0061.02201MR17288
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  6. 6 Gonzalez, Martinez, Lie mutation of an associative algebra, Algebras, Groupes and Geometries, to appear. Zbl0586.17012
  7. 7 Gonzalez, Martinez, Homotopia y regularided von Neumann en algebras asociativas y alternativas, VII Jordanas de Matematicos de Expresion Latina, Coimbra, 1985. 
  8. 8 Gonzales, Martinez, Homotope and mutation algebras of a non-associative algebra, Algebras, Groupes and Geometries, to appear. Zbl0586.17013
  9. 9 Kalnay, Lie-admissible structure of a quantized Nambus generalized hamiltonian dynamics, Hadronic J.6, 1983. Zbl0543.70025
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  12. 12 McCrimmon, A characterization of the Jacobson-Smiley radical, J. of Algebra18, 1971. Zbl0241.17010MR277585
  13. 13 McCrimmon, Homotopes of noncommutative Jordan algebras, Math. Ann.191, 1971. Zbl0224.17002MR313333
  14. 14 McCrinimon, A characterization of the radical of a Jordan algebra, J. Algebra18, 1971. Zbl0243.17013MR277583
  15. 15 Myung-Jimenez, Direct product decomposition of alternative rings, Proc. AMS47, 1975. Zbl0301.17004MR354796
  16. 16 Myung, Conditions for alternative rings to be Boolean, Algebra Universalis 5, 1975. Zbl0328.17006MR396712
  17. 17 Myung, The exponentation and deformations of Lie-admissible algebras, Hadronic J.5, 777, 1982. Zbl0488.17007MR659667
  18. 18 Myung, A generalization of Hermitian and unitary operators in a Hilbert space, Hadronic J.7, 76-87, 1984. Zbl0593.47020MR738708
  19. 19 Myung, An isotensor product of iso-Hilbert spaces, to appear. Zbl0586.46053
  20. 20 Schafer, Alternative algebras over an arbitrary field, Bull AMS, 49, 1943. Zbl0061.05201MR8610
  21. 21 Schafer, An introduction to nonassociative algebras, Academic PressN-Y. 1966. Zbl0145.25601MR210757
  22. 22 Zhelakov, Slinko, Shestakov, Shirshov, Rings that are nearly associtive, Academic Press, 1982. Zbl0487.17001MR668355

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