Superior subalgebras and ideals of BCK/BCI-algebras

Young Bae Jun; Seok Zun Song

Discussiones Mathematicae General Algebra and Applications (2016)

  • Volume: 36, Issue: 1, page 85-99
  • ISSN: 1509-9415

Abstract

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The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.

How to cite

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Young Bae Jun, and Seok Zun Song. "Superior subalgebras and ideals of BCK/BCI-algebras." Discussiones Mathematicae General Algebra and Applications 36.1 (2016): 85-99. <http://eudml.org/doc/286920>.

@article{YoungBaeJun2016,
abstract = {The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.},
author = {Young Bae Jun, Seok Zun Song},
journal = {Discussiones Mathematicae General Algebra and Applications},
keywords = {superior mapping; superior subalgebra; (commutative) superior ideal},
language = {eng},
number = {1},
pages = {85-99},
title = {Superior subalgebras and ideals of BCK/BCI-algebras},
url = {http://eudml.org/doc/286920},
volume = {36},
year = {2016},
}

TY - JOUR
AU - Young Bae Jun
AU - Seok Zun Song
TI - Superior subalgebras and ideals of BCK/BCI-algebras
JO - Discussiones Mathematicae General Algebra and Applications
PY - 2016
VL - 36
IS - 1
SP - 85
EP - 99
AB - The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.
LA - eng
KW - superior mapping; superior subalgebra; (commutative) superior ideal
UR - http://eudml.org/doc/286920
ER -

References

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  7. [7] J. Meng, Commutative ideals in BCK-algebras, Pure Appl. Math. (in China) 9 (1991), 49-53. Zbl0875.06017
  8. [8] J. Meng, On ideals in BCK-algebras, Math. Japonica 40 (1994), 143-154. Zbl0807.06012
  9. [9] J. Meng and Y.B. Jun, BCK-algebras (Kyungmoon Sa Co. Seoul, 1994). 
  10. [10] R. Sáanchez, R. Grau and E. Morgado, A novel Lie algebra of the genetic code over the Galois field of four DNA bases, Mathematical Biosciences 202 (2006), 156-174. doi: 10.1016/j.mbs.2006.03.017 Zbl1100.92021
  11. [11] J.J. Tian and B.L. Li, Coalgebraic structure of genetics inheritance, Mathematical Biosciences and Engineering 1 (2004), PMID: 20369970 [PubMed], 243-266. Zbl1061.17027

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