Ring homomorphisms on H(G)
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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S016117129000059X |
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doaj-4f31a9a5f01a47d48ff9cce5da2e50c82020-11-24T22:36:42ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113239339610.1155/S016117129000059XRing homomorphisms on H(G)N. R. Nandakumar0Department of Mathematical Sciences, University of Delaware, Newark 19716, Delaware, USAIt 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.http://dx.doi.org/10.1155/S016117129000059Xring homomorphismalgebra of analytic functionlinearconjugate linear. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
N. R. Nandakumar |
| spellingShingle |
N. R. Nandakumar Ring homomorphisms on H(G) International Journal of Mathematics and Mathematical Sciences ring homomorphism algebra of analytic function linear conjugate linear. |
| author_facet |
N. R. Nandakumar |
| author_sort |
N. R. Nandakumar |
| title |
Ring homomorphisms on H(G) |
| title_short |
Ring homomorphisms on H(G) |
| title_full |
Ring homomorphisms on H(G) |
| title_fullStr |
Ring homomorphisms on H(G) |
| title_full_unstemmed |
Ring homomorphisms on H(G) |
| title_sort |
ring homomorphisms on h(g) |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1990-01-01 |
| description |
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. |
| topic |
ring homomorphism algebra of analytic function linear conjugate linear. |
| url |
http://dx.doi.org/10.1155/S016117129000059X |
| work_keys_str_mv |
AT nrnandakumar ringhomomorphismsonhg |
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1725718579985252352 |