Manuscript Number : GISRRJ23611

Properties of Homomorphism on Rings

Authors(1) :-Dr. Rajesh Kumar

The purpose in this paper is to determine the finiteness properties of the homomorphism C(Y)->C(X) (i.e., whether it is finite, integral, singly generated or finitely generated) in terms of the properties of the map X->Y.

Authors and Affiliations

Dr. Rajesh Kumar
Assistant Professor, Department of Mathematics, Government College Puranpur, Pilibhit, Uttar Pradesh, India

Continuous Functions, Finite Homomorphism

  1. R.Engelking, General Topology, Heldermann, Berlin, 1989.
  2. K.D. Magill Jr, A note on compactifications, Math. Z. 94 (1966). Page No. 322-325.
  3. L. Gillman, M. Jersion, Rings of Continuous Functions, Springer, New York, 1978.
  4. R.E. Chandler, Hausdroff conpactifications, Marcel Dekker, New York, 1976.

Publication Details

Published in : Volume 6 | Issue 1 | January-February 2023
Date of Publication : 2023-01-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 01-05
Manuscript Number : GISRRJ23611
Publisher : Technoscience Academy

ISSN : 2582-0095

Cite This Article :

Dr. Rajesh Kumar, "Properties of Homomorphism on Rings", Gyanshauryam, International Scientific Refereed Research Journal (GISRRJ), ISSN : 2582-0095, Volume 6, Issue 1, pp.01-05, January-February.2023
URL : https://gisrrj.com/GISRRJ23611

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