East Asian mathematical journal
- Volume 22 Issue 2
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- Pages.207-213
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- 2006
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
NIL SUBSETS IN BCH-ALGEBRAS
- Jun, Young-Bae (Department of Mathematics Education (and RINS) Gyeongsang National University) ;
- Roh, Eun-Hwan (Department of Mathematics Education Chinju National University of Education)
- Published : 2006.12.31
Abstract
Using the notion of nilpotent elements, the concept of nil subsets is introduced, and related properties are investigated. 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.