Geodesic
An algebraic characterization for rings of continuous quaternion-valued functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1245-1249 
A. A. Seredinskii. An algebraic characterization for rings of continuous quaternion-valued functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 8 (2002) no. 4, pp. 1245-1249. http://geodesic.mathdoc.fr/item/FPM_2002_8_4_a21/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Rings of continuous quaternion-valued functions on compact spaces are characterized in purely ring-theoretic terms.

[1] Zakharov V. K., Mikhalev A. V., Seredinskii A. A., “Algebraicheskoe opisanie kolets nepreryvnykh funktsii”, Uspekhi mat. nauk, 56:1, 163–164 | MR | Zbl

[2] Naimark M. A., Normirovannye koltsa, Nauka, M., 1968 | MR | Zbl

[3] Seredinskii A. A., “Algebraicheskaya kharakterizatsiya kolets nepreryvnykh kompleksnoznachnykh funktsii na kompaktnom prostranstve”, Sovremennye issledovaniya v matematike i mekhanike, Trudy XXIII konferentsii molodykh uchenykh mekhaniko-matematicheskogo fakulteta MGU, Izdatelstvo Tsentra prikladnykh issledovanii pri mekhaniko-matematicheskom fakultete MGU, M., 2001, 322–328