FALLING SUBALGEBRAS AND IDEALS IN BH-ALGEBRAS

@inproceedings{Kim2012FALLINGSA,
  title={FALLING SUBALGEBRAS AND IDEALS IN BH-ALGEBRAS},
  author={Eun-Mi Kim and Sun-Shin Ahn},
  year={2012}
}
Based on the theory of a falling shadow which was first formulated by Wang([14]), a theoretical approach of the ideal structure in BH-algebras is established. The notions of a falling subalgebra, a falling ideal, a falling strong ideal, a falling -fold strong ideal and a falling translation ideal of a BH-algebra are introduced. Some fundamental properties are investigated. Relations among a falling subalgebra, a falling ideal and a falling strong ideal, a falling -fold strong ideal are stated… CONTINUE READING