On properties of nil subsets in difference algebras

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Published: Sep 30, 2001
DOI: https://doi.org/10.5556/j.tkjm.32.2001.371

Main Article Content

E. H. Roh
Y. B. Jun
S. Y. Kim
W. H. Shim

Abstract

In this paper, we introduce the concept of nil subsets by using nilpotent elements, and investigate some related properties. We show that a nil subset on a subalgebra (resp. (closed) ideal) is a subalgebra (resp. (closed) ideal). We also prove that in a nil algebra every ideal is a subalgebra.

Article Details

How to Cite
Roh, E. H., Jun, Y. B., Kim, S. Y., & Shim, W. H. (2001). On properties of nil subsets in difference algebras. Tamkang Journal of Mathematics, 32(3), 167–172. https://doi.org/10.5556/j.tkjm.32.2001.371
Issue
Vol. 32 No. 3 (2001)
Section
Papers
Author Biographies

E. H. Roh

Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Korea.

Y. B. Jun

Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea.

S. Y. Kim

Department of Mathematics Education, Chinju National University of Education, Chinju 660-756, Korea.

W. H. Shim

Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea.

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