Noncommutative Jordan algebras containing minimal inner ideals
Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 97 (1991) no. 27, pp. 153-176.
@article{ASCFM_1991__97_27_153_0,
     author = {Fern\'andez L\'opez, Antonio},
     title = {Noncommutative {Jordan} algebras containing minimal inner ideals},
     journal = {Annales scientifiques de l'Universit\'e de Clermont. Math\'ematiques},
     pages = {153--176},
     publisher = {UER de Sciences exactes et naturelles de l'Universit\'e de Clermont},
     volume = {97},
     number = {27},
     year = {1991},
     mrnumber = {1164719},
     zbl = {0851.17003},
     language = {en},
     url = {http://archive.numdam.org/item/ASCFM_1991__97_27_153_0/}
}
TY  - JOUR
AU  - Fernández López, Antonio
TI  - Noncommutative Jordan algebras containing minimal inner ideals
JO  - Annales scientifiques de l'Université de Clermont. Mathématiques
PY  - 1991
SP  - 153
EP  - 176
VL  - 97
IS  - 27
PB  - UER de Sciences exactes et naturelles de l'Université de Clermont
UR  - http://archive.numdam.org/item/ASCFM_1991__97_27_153_0/
LA  - en
ID  - ASCFM_1991__97_27_153_0
ER  - 
%0 Journal Article
%A Fernández López, Antonio
%T Noncommutative Jordan algebras containing minimal inner ideals
%J Annales scientifiques de l'Université de Clermont. Mathématiques
%D 1991
%P 153-176
%V 97
%N 27
%I UER de Sciences exactes et naturelles de l'Université de Clermont
%U http://archive.numdam.org/item/ASCFM_1991__97_27_153_0/
%G en
%F ASCFM_1991__97_27_153_0
Fernández López, Antonio. Noncommutative Jordan algebras containing minimal inner ideals. Annales scientifiques de l'Université de Clermont. Mathématiques, Tome 97 (1991) no. 27, pp. 153-176. http://archive.numdam.org/item/ASCFM_1991__97_27_153_0/

1 J.C. Alexander, Compact Banach algebras. Proc. London Math. Soc. (3) 18 (1968), 1-18. | MR | Zbl

2 E.M. Alfen, F.W. Shultz and E. Stormer, A Gelgand Neumark theorem for Jordan algebras. Advances in Math. 28 (1978), 11-56. | MR | Zbl

3 W. Ambrose, Structures theorems for a special class of Banach algebra. Trans. Amer. Math. Soc. 57 (1945), 364-386. | MR | Zbl

4 B.A. Barnes, Modular annihilator algebras. Canad. J. Math.18 (1966), 566-578. | MR | Zbl

5 B.A. Barnes, On the existence of minimal ideals in Banach algebras. Trans. Amer. Math. Math. Soc. 133 (1968), 511-517. | MR | Zbl

6 B.A. Barnes, Examples of modular annihilator algebras. Rocky Mountain J. Math. 1 (1971), 657-665. | MR | Zbl

7 B.A. Barnes, G.J. Murphy, M.R.F. Smith and T.T. West, Riesz and Fredholm theory in Banach algebras. Research Notes in Mathematics. Pitman (1982). | Zbl

8 M. Benslimane and A.M. Kaidi, Structure des algèbres de Jordan Banach non commutatives complexes regulières ou semisimples à spectre fini. Submitted to J. Algebra. | Zbl

9 F.F. Bonsall and J. Duncan, Complete Normed Algebras. Springer Verlag (1973). | MR | Zbl

10 J.A. Cuenca Mira and A. Rodriguez Palacios, Structure theory for noncommutative Jordan H*-algebras. J. Algebra (to appear). | Zbl

11 J. Dieudonne, Sur le socle d'un anneau et les anneaux simples infinis. Bull. Sco. Math. de France, 71 (1943), 1-30. | JFM | Numdam | MR | Zbl

12 A. Fernandez Lopez, Modular annihilator Jordan algebras. Commun. in Algebra 13 (12) (1985), 2597-2613. | MR | Zbl

13 A. Fernandez Lopez, Ideals in nondegenerate noncommutative Jordan algebras. Commun. in Algebra, (to appear). | MR | Zbl

14 A. Fernandez Lopez, Noncommutative Jordan algebras coinciding with its socle. Preprint. | MR

15 A. Fernandez Lopez and A. Rodriguez Palacios, On the socle of a noncommutative Jordan algebra. Submitted to Manuscripta Mathematica. | Zbl

16 A. Fernandez Lopez, Noncommutative Jordan Riesz algebras. Preprint. | MR | Zbl

17 A. Fernandez Lopez, Theoremas de Wedderburn-Zorn en algebras alterntivas normadas completas. Tesis Doctoral. Universidad de Granada. Granada 1983.

18 A. Fernandez Lopez and Rodriguez Palacios, Primitive non commutative Jordan algebras with nonzero socle. Proc. Amer. Math. Soc. 96 (2) (1986), 199-206. | MR | Zbl

19 A. Fernandez Lopez and Rodriguez Palacios, A Wedderbum theorem for nonassociative complete normed algebras. Proc. London Math. Soc. (to appear). | Zbl

20 A. Fernandez Lopez and Rodriguez Palacios, Coincidence of the socle and the maximal regular ideal in associative and Jordan Banach algebras. Preprint.

21 L. Hogben and K. Mccrimmon, Maximal modular inner ideals and the Jacobson radical of a Jordan algebra. J. Algebra 68 (1981), 155-169. | MR | Zbl

22 N. Jacobson, On the theory of primitive rings. Ann. of Math. 48 (1947) 8-21. | MR | Zbl

23 N. Jacobson, Lecture in Abstract Algebra II, Linear Algebra, New York, 1953. | Zbl

24 N. Jacobson, Structure of rings. Amer. Math. Sco. Colloq. Publ. 37, Providence R.I. 1964. | MR | Zbl

25 N. Jacobson, Structure and representations of Jordan algebras. Amer. Math. Soc. Colloq. Publ. 39, Providence R.I. 1968. | MR | Zbl

26 N. Jacobson and C.E. Rickart, Homomorphisms of Jordan rings of self-adjoint elements. Trans. Amer. Math. Soc. 72 (1952), 310-322. | MR | Zbl

27 A.M. Kaidi, Bases para una teoria de las algebras no-associativas normadas. Tesis Doctoral. Universidad de Granada. Granada 1977.

28 K. Kaplansky, Normed algebras. Duke Math. J. 16 (1949), 399-418. | MR | Zbl

29 E. Kleinfeld, Primitive alternative rings and semisimplicity. Amer. J. Math. 77 (4) (1955), 725-730. | MR | Zbl

30 K Mccrimmon, A note on quasi-associative algebras. Proc. Amer. Math. Soc. 17 (1966), 1455-1459. | MR | Zbl

31 K Mccrimmon, On Herstein's theorem relating Jordan and associative algebras. J. Algebra 13 (19690), 382-392. | MR | Zbl

32 K Mccrimmon, Noncommutative Jordan rings, Trans. Amer. Math. Soc. 158 (1971), 1-33. | MR | Zbl

33 K Mccrimmon, Zelmanov's prime theorem for quadratic Jordan algebras. J. Algebra 76 (1982), 297-326. | MR | Zbl