Note on a Subring of C *(X)(1)
Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 177-179
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Throughout, topological spaces are assumed to be completely regular. C(X) (resp. C*(X)) will denote the ring of all (resp. all bounded) continuous real-valued functions. βX will denote the Stone-Cech compactification of X. In [2], Nel and Riorden defined C≠(X) to be the set of all f ∊ C(X) such that M(f) is real in the residue class ring C(X)/M for every maximal ideal M in C(X). C≠(X) is a subalgebra as well as a sublattice of C*(X).
Eng-Ung, Choo. Note on a Subring of C *(X)(1). Canadian mathematical bulletin, Tome 18 (1975) no. 2, pp. 177-179. doi: 10.4153/CMB-1975-035-4
@article{10_4153_CMB_1975_035_4,
author = {Eng-Ung, Choo},
title = {Note on a {Subring} of {C} {*(X)(1)}},
journal = {Canadian mathematical bulletin},
pages = {177--179},
year = {1975},
volume = {18},
number = {2},
doi = {10.4153/CMB-1975-035-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-035-4/}
}
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