Geodesic
An abstract approach to the study of derivation mappings on non-commutative rings
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2007), pp. 107-117 
Elena P. Cojuhari. An abstract approach to the study of derivation mappings on non-commutative rings. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2007), pp. 107-117. http://geodesic.mathdoc.fr/item/BASM_2007_2_a9/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An abstract approach to the study of derivation mappings on non-commutative rings is undertaken. These mappings are indexed by elements of multiplicative monoid. We describe completely the derivation mappings in the case of a monoid generated by two elements.

[1] Cojuhari E., “The property of universality for some monoid algebras over non-commutative rings”, Buletinul A.Ş.R.M., Matematica, 2006, no. 2(51), 102–105 | MR | Zbl

[2] Lang S., Algebra, Addison Wesley, Reading, Massachusetts, 1970 | MR

[3] Cohn P. M., Free rings and their relations, Academic Press, London–New-York, 1971 | MR

[4] Smits T. H. M., “Nilpotent $S$-derivations”, Indag. Math., 30 (1968), 72–86 | MR

[5] Smits T. H. M., “Skew polynomial rings”, Indag. Math., 30 (1968), 209–224 | MR