@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://www.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://www.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://www.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://www.numdam.org/item/ASCFM_1991__97_27_153_0/
1 Compact Banach algebras. Proc. London Math. Soc. (3) 18 (1968), 1-18. | MR | Zbl
,2 A Gelgand Neumark theorem for Jordan algebras. Advances in Math. 28 (1978), 11-56. | MR | Zbl
, and ,3 Structures theorems for a special class of Banach algebra. Trans. Amer. Math. Soc. 57 (1945), 364-386. | MR | Zbl
,4 Modular annihilator algebras. Canad. J. Math.18 (1966), 566-578. | MR | Zbl
,5 On the existence of minimal ideals in Banach algebras. Trans. Amer. Math. Math. Soc. 133 (1968), 511-517. | MR | Zbl
,6 Examples of modular annihilator algebras. Rocky Mountain J. Math. 1 (1971), 657-665. | MR | Zbl
,7 Riesz and Fredholm theory in Banach algebras. Research Notes in Mathematics. Pitman (1982). | Zbl
, , and ,8 Structure des algèbres de Jordan Banach non commutatives complexes regulières ou semisimples à spectre fini. Submitted to J. Algebra. | Zbl
and ,9 Complete Normed Algebras. Springer Verlag (1973). | MR | Zbl
and ,10 Structure theory for noncommutative Jordan H*-algebras. J. Algebra (to appear). | Zbl
and ,11 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 Modular annihilator Jordan algebras. Commun. in Algebra 13 (12) (1985), 2597-2613. | MR | Zbl
,13 Ideals in nondegenerate noncommutative Jordan algebras. Commun. in Algebra, (to appear). | MR | Zbl
,14 Noncommutative Jordan algebras coinciding with its socle. Preprint. | MR
,15 On the socle of a noncommutative Jordan algebra. Submitted to Manuscripta Mathematica. | Zbl
and ,16 Noncommutative Jordan Riesz algebras. Preprint. | MR | Zbl
,17 Theoremas de Wedderburn-Zorn en algebras alterntivas normadas completas. Tesis Doctoral. Universidad de Granada. Granada 1983.
,18 Primitive non commutative Jordan algebras with nonzero socle. Proc. Amer. Math. Soc. 96 (2) (1986), 199-206. | MR | Zbl
and ,19 A Wedderbum theorem for nonassociative complete normed algebras. Proc. London Math. Soc. (to appear). | Zbl
and ,20 Coincidence of the socle and the maximal regular ideal in associative and Jordan Banach algebras. Preprint.
and ,21 Maximal modular inner ideals and the Jacobson radical of a Jordan algebra. J. Algebra 68 (1981), 155-169. | MR | Zbl
and ,22 On the theory of primitive rings. Ann. of Math. 48 (1947) 8-21. | MR | Zbl
,23 Lecture in Abstract Algebra II, Linear Algebra, New York, 1953. | Zbl
,24 Structure of rings. Amer. Math. Sco. Colloq. Publ. 37, Providence R.I. 1964. | MR | Zbl
,25 Structure and representations of Jordan algebras. Amer. Math. Soc. Colloq. Publ. 39, Providence R.I. 1968. | MR | Zbl
,26 Homomorphisms of Jordan rings of self-adjoint elements. Trans. Amer. Math. Soc. 72 (1952), 310-322. | MR | Zbl
and ,27 Bases para una teoria de las algebras no-associativas normadas. Tesis Doctoral. Universidad de Granada. Granada 1977.
,28 Normed algebras. Duke Math. J. 16 (1949), 399-418. | MR | Zbl
,29 Primitive alternative rings and semisimplicity. Amer. J. Math. 77 (4) (1955), 725-730. | MR | Zbl
,30 A note on quasi-associative algebras. Proc. Amer. Math. Soc. 17 (1966), 1455-1459. | MR | Zbl
,31 On Herstein's theorem relating Jordan and associative algebras. J. Algebra 13 (19690), 382-392. | MR | Zbl
,32 Noncommutative Jordan rings, Trans. Amer. Math. Soc. 158 (1971), 1-33. | MR | Zbl
,33 Zelmanov's prime theorem for quadratic Jordan algebras. J. Algebra 76 (1982), 297-326. | MR | Zbl
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