On additivity of derivations | Zendy

Gurninder S. Sandhu | Zendy; Deepak Kumar | Zendy

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On additivity of derivations

Author(s) -

Gurninder S. Sandhu,

Deepak Kumar

Publication year - 2019

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.11.2.453-462

Subject(s) - additive function , multiplicative function , mathematics , bimodule , ring (chemistry) , pure mathematics , extension (predicate logic) , discrete mathematics , algebra over a field , mathematical analysis , computer science , chemistry , organic chemistry , programming language

Let $R$ be a ring and $M$ be an $R$-bimodule. A mapping $d:R\rightarrow M$ (not necessarily additive) is called multiplicative derivation of $R$ if $d(xy)=d(x)y+xd(y)$ for all $x,y\in R.$ In this paper, we intend to establish the additivity of $d$ under some suitable restrictions. Moreover, we introduce multiplicative semi-derivations of rings and discuss their additivity.

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