Derivations of Rings of Infinite Matrices

Author： Słowik R.  

Publisher： Taylor & Francis Ltd

E-ISSN： 1532-4125|43|8|3433-3441

ISSN： 0092-7872

Source： Communications in Algebra, Vol.43, Iss.8, 2015-08, pp. : 3433-3441

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

For any associative unital ring R we investigate two rings – the ring of all infinite upper triangular matrices and the ring of all infinite matrices with the finite number of nonzero entries in each column. We describe derivations of these rings. We prove that every derivation of any of them is a sum of an inner derivation and a derivation which is induced by some derivation of R.

Related content

Derivations and Skew Polynomial Rings

By Chuang Chen-Lian   Lee Tsiu-Kwen  

Communications in Algebra, Vol. 35, Iss. 2, 2007-02 ,pp. : 527-539 (13)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Derivations on semiprime rings

By  

Bulletin of the Australian Mathematical Society, Vol. 53, Iss. 3, 1996-06 ,pp. : 353-359 (7)

Cambridge University Press

Access to resources Recommend Favorite

Jordan derivations on prime rings

By  

Bulletin of the Australian Mathematical Society, Vol. 37, Iss. 3, 1988-06 ,pp. : 321-322 (2)

Cambridge University Press

Access to resources Recommend Favorite

Lie derivations on triangular matrices

By Benkovic˘ Dominik  

Linear and Multilinear Algebra, Vol. 55, Iss. 6, 2007-11 ,pp. : 619-626 (8)

Taylor & Francis Ltd

Access to resources Recommend Favorite

Generalized skew derivations on semiprime rings

By  

Linear and Multilinear Algebra, Vol. 63, Iss. 5, 2015-05 ,pp. : 927-939 (13)

Taylor & Francis Ltd

Access to resources Recommend Favorite