Several Classes of BCI-algebras and their Properties

Yuzhong Ding

Formalized Mathematics (2007)

  • Volume: 15, Issue: 1, page 1-9
  • ISSN: 1426-2630

Abstract

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I have formalized the BCI-algebras closely following the book [6], sections 1.1 to 1.3, 1.6, 2.1 to 2.3, and 2.7. In this article the general theory of BCI-algebras and several classes of BCI-algebras are given. MML identifier: BCIALG 1, version: 7.8.04 4.81.962

How to cite

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Yuzhong Ding. "Several Classes of BCI-algebras and their Properties." Formalized Mathematics 15.1 (2007): 1-9. <http://eudml.org/doc/266680>.

@article{YuzhongDing2007,
abstract = {I have formalized the BCI-algebras closely following the book [6], sections 1.1 to 1.3, 1.6, 2.1 to 2.3, and 2.7. In this article the general theory of BCI-algebras and several classes of BCI-algebras are given. MML identifier: BCIALG 1, version: 7.8.04 4.81.962},
author = {Yuzhong Ding},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {1-9},
title = {Several Classes of BCI-algebras and their Properties},
url = {http://eudml.org/doc/266680},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Yuzhong Ding
TI - Several Classes of BCI-algebras and their Properties
JO - Formalized Mathematics
PY - 2007
VL - 15
IS - 1
SP - 1
EP - 9
AB - I have formalized the BCI-algebras closely following the book [6], sections 1.1 to 1.3, 1.6, 2.1 to 2.3, and 2.7. In this article the general theory of BCI-algebras and several classes of BCI-algebras are given. MML identifier: BCIALG 1, version: 7.8.04 4.81.962
LA - eng
UR - http://eudml.org/doc/266680
ER -

References

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  6. [6] Jie Meng and YoungLin Liu. An Introduction to BCI-algebras. Shaanxi Scientific and Technological Press, 2001. 
  7. [7] Michał Muzalewski. Midpoint algebras. Formalized Mathematics, 1(3):483-488, 1990. 
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  12. [12] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. 
  13. [13] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  14. [14] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. 

Citations in EuDML Documents

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  1. Yuzhong Ding, Zhiyong Pang, Congruences and Quotient Algebras of BCI-algebras
  2. Tao Sun, Dahai Hu, Xiquan Liang, Several Classes of BCK-algebras and their Properties
  3. Tao Sun, Junjie Zhao, Xiquan Liang, BCI-algebras with Condition (S) and their Properties
  4. Chenglong Wu, Yuzhong Ding, Ideals of BCI-algebras and their Properties
  5. Tao Sun, Weibo Pan, Chenglong Wu, Xiquan Liang, General Theory of Quasi-Commutative BCI-algebras
  6. Yuzhong Ding, Fuguo Ge, Chenglong Wu, BCI-homomorphisms

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