On pseudo-$BCI$ ideals of pseudo-$BCI$ algebras

Authors

  • Young Bae Jun Department of Mathematics Education, Gyeongsang National University, Chinju (Jinju) 660-701, Korea Author
  • Hee Sik Kim Department of Mathematics, Hanyang University, Seoul 133-791, Korea Author
  • J. Neggers Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA Author

Keywords:

Pseudo-$BCK/BCI$-algebra, pseudo-atom, pseudo-$BCI$ ideal, pseudo-$BCI$ homomorphism

Subjects:

06F35, 03G25

Abstract

The notions of pseudo-atoms, pseudo-$BCI$ idealsand pseudo-$BCI$ homomorphisms in pseudo-$BCI$ algebras areintroduced. Characterizations of a pseudo-$BCI$ ideal aredisplayed, and conditions for a subset to be a pseudo-$BCI$ idealare given. The concept of a $\diamond$-medial pseudo-$BCI$ algebrais also introduced, and its characterization is provided. We showthat every pseudo-$BCI$ homomorphic image and preimage of apseudo-$BCI$ ideal is also a pseudo-$BCI$ ideal.

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Published

2006-04-15

Issue

Vol. 58 No. 1–2 (2006): Vol. 58, Issue 1–2

Section

Articles

License

Copyright (c) 2006 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.