Jordan mappings of semiprime rings II

Matej Brešar

doi:10.1017/S000497270002966X

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We describe Jordan homomorphisms and Jordan triple homomorphisms onto 2-torsion free semiprime rings in which the annihilator of any ideal is a direct summand.

References

[1]Amitsur, A.S., ‘On rings of quotients’, Sympos. Math. 8 (1972), 149–164.Google Scholar

[2]Baxter, W.E. and Martindale, W.S., ‘Jordan homomorphisms of semiprime rings’, J. Algebra 56 (1979), 457–471.CrossRef Google Scholar

[3]Brešar, M., ‘Jordan mappings of semiprime rings’, J. Algebra 127 (1989), 218–228.CrossRef Google Scholar

[4]Kaplansky, I., Rings of operators (Benjamin, New York, 1968).Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Brešar, Matej 1992. Characterizations of derivations on some normed algebras with involution. Journal of Algebra, Vol. 152, Issue. 2, p. 454.

Beidar, K.I. and Chebotar, M.A. 2000. On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras. Journal of Algebra, Vol. 233, Issue. 2, p. 675.

Beidar, K.I. Brešar, M. and Chebotar, M.A. 2000. Jordan isomorphisms of triangular matrix algebras over a connected commutative ring. Linear Algebra and its Applications, Vol. 312, Issue. 1-3, p. 197.

Wong, Tsai-Lien 2005. Jordan isomorphisms of triangular rings. Proceedings of the American Mathematical Society, Vol. 133, Issue. 11, p. 3381.

Liu, Cheng-Kai and Tsai, Wan-Yu 2007. Jordan isomorphisms of upper triangular matrix rings. Linear Algebra and its Applications, Vol. 426, Issue. 1, p. 143.

BREŠAR, MATEJ 2008. Jordan homomorphisms revisited. Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 144, Issue. 2, p. 317.

KUZUCUOGLU, FERIDE and LEVCHUK, VLADIMIR M. 2010. JORDAN ISOMORPHISMS OF RADICAL FINITARY MATRIX RINGS. Journal of Algebra and Its Applications, Vol. 09, Issue. 04, p. 659.

LEVCHUK, VLADIMIR M. and RADCHENKO, OKSANA V. 2010. DERIVATIONS OF THE LOCALLY NILPOTENT MATRIX RINGS. Journal of Algebra and Its Applications, Vol. 09, Issue. 05, p. 717.

Li, Jiankui and Zhou, Jiren 2011. Characterizations of Jordan derivations and Jordan homomorphisms. Linear and Multilinear Algebra, Vol. 59, Issue. 2, p. 193.

Kuzucuoglu, Feride 2011. Jordan Derivations on Strictly Triangular Matrix Rings. Algebra Colloquium, Vol. 18, Issue. 03, p. 519.

Wang, Yao and Wang, Yu 2013. Jordan homomorphisms of upper triangular matrix rings. Linear Algebra and its Applications, Vol. 439, Issue. 12, p. 4063.

Song, Yamin Hou, Jinchuan and Qi, Xiaofei 2014. Characterizingξ-Lie Multiplicative Isomorphisms on Von Neumann Algebras. Abstract and Applied Analysis, Vol. 2014, Issue. , p. 1.

Du, Yiqiu and Wang, Yu 2014. Jordan homomorphisms of upper triangular matrix rings over a prime ring. Linear Algebra and its Applications, Vol. 458, Issue. , p. 197.

Yang, Aili 2015. Jordan Isomorphisms on Nest Subalgebras. Advances in Mathematical Physics, Vol. 2015, Issue. , p. 1.

Yang, Aili 2016. Characterization of Jordan isomorphisms on nest subalgebras. Journal of Interdisciplinary Mathematics, Vol. 19, Issue. 1, p. 83.

Shafiq, Sara and Aslam, Muhammad 2017. On Jordan mappings of inverse semirings. Open Mathematics, Vol. 15, Issue. 1, p. 1123.

Brusamarello, Rosali Fornaroli, Érica Z. and Khrypchenko, Mykola 2018. Jordan isomorphisms of finitary incidence algebras. Linear and Multilinear Algebra, Vol. 66, Issue. 3, p. 565.

Article contents

Jordan mappings of semiprime rings II

Abstract

References

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests