Advanced search
Publication Cover
Communications in Algebra Volume 28, 2000 - Issue 9
Submit an article Journal homepage
29
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Outer inheritance in jordan systemsFootnote1

José A. Anquela Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo s/n, Oviedo, 33007, Spain
&
Teresa Cortés Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo s/n, Oviedo, 33007, Spain
Pages 4165-4178 | Received 01 Apr 1999, Published online: 27 Jun 2007

References

  • DAmour , A. 1992 . Quadratic Jordan Systems of Hermitian Type . J. Algebra , 149 : 197 – 233 .
  • DAmour , A. and McCrimmon , K. 1995 . The Local Algebras of Jordan Systems . J. Algebra , 177 : 199 – 239 .
  • Amour A.D. McCrimmon K. The Structure of Quadratic Jordan Systems of Clifford Type to appear
  • Anquela , J.A. and Cortés , T. 1996 . Primitive Jordan Pairs and Triple Systems . J. Algebra , 184 : 632 – 678 .
  • Anquela , J.A. and Cortés , T. 1998 . Local-to-Global Inheritance of Prim-itivity in Jordan Algebras . Arch. Math , 70 : 219 – 227 .
  • Anquela , J.A. and Cortés , T. 1998 . Primitivity in Jordan Systems is Ubiquitous . J. Algebra , 202 : 295 – 314 .
  • Anquela , J.A. , Cortés , T. , Loos , O. and McCrimmon , K. 1996 . An Elemental Characterization of Strong Primeness in Jordan Systems . J. Pure Appl. Algebra , 109 : 23 – 36 .
  • Anquela , J.A. , Cortés , T. , McCrimmon , K. and Montaner , F. 1997 . Strong Primeness of Hermitian Jordan Systems . J. Algebra , 198 : 311 – 326 .
  • Anquela , J.A. , Cortés , T. and Montaner , F. 1995 . The Structure of Primitive Quadratic Jordan Algebras . J Algebra , 172 : 530 – 553 .
  • Anquela , J.A. , Cortés , T. and Montaner , F. 1995 . Local Inheritance in Jordan Algebras . Arch. Math , 64 : 393 – 401 .
  • Hogben , L. and McCrimmon , K. 1981 . Maximal Modular Inner Ideals and the Jacobson Radical of a Jordan Algebra . J. Algebra , 68 ( 1 ) : 155 – 169 .
  • Jacobson , N. 1981 . Structure Theory of Jordan Algebras , Vol. 5 , Fayetteville : University of Arkansas . Lecture Notes in Mathematics
  • Loos , O. 1975 . “ Jordan Paris ” . In Lecture Notes in Mathematics , Vol. 460 , New York : Springer-Verlag .
  • McCrimmon , K. 1984 . Strong Prime Inheritance in Jordan Systems . Algebras, Groups and Geom , 1 : 217 – 234 .
  • McCrimmon , K. 1999 . Outer Inheritance in Jordan Algebras . Comm. Algebra , 27 ( 12 ) : 6127 – 6145 .
  • McCrimmon , K. and Zelmanov , E. 1988 . The Structure of Strongly Prime Quadratic Jordan Algebras . Adv. Math , 69 ( 2 ) : 133 – 222 .
  • Meyberg , K. 1972 . “ Lectures on Algebras and Triple Systems ” . In Lecture Notes , Charlottesville : University of Virginia .
  • Rowen , L.H. 1988 . Ring Theory , Vol. I , New York : Academic Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.