Publication Date:
1984-01-01
Description:
Motivated by Cauchy's functional equationf(x+y)=f(x)+f(y), we study in§1special rings, namely, rings for which every endomorphismfof their additive group is of the formf(x)≡ax. In§2we generalize toRalgebras (Ra fixed commutative ring) and give a classification theorem whenRis a complete discrete valuation ring. This result has an interesting consequence, Proposition12, for the theory of special rings.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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