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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 2, Pages 393-396
doi:10.1155/S016117129000059X

Ring homomorphisms on H(G)

N.R. Nandakumar

Department of Mathematical Sciences, University of Delaware, Newark 19716, Delaware, USA

Abstract

It is shown that a ring homomorphism on H(G), the algebra of analytic functions on a regular region G in the complex plane, is either linear or conjugate linear provided that the ring homomorphism takes the identity function into a nonconstant function.