East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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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
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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.

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