BCI-homomorphisms

Yuzhong Ding; Fuguo Ge; Chenglong Wu

Formalized Mathematics (2008)

  • Volume: 16, Issue: 4, page 371-376
  • ISSN: 1426-2630

Abstract

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In this article the notion of the power of an element of BCI-algebra and its period in the book [11], sections 1.4 to 1.5 are firstly given. Then the definition of BCI-homomorphism is defined and the fundamental theorem of homomorphism, the first isomorphism theorem and the second isomorphism theorem are proved following the book [9], section 1.6.MML identifier: BCIALG 6, version: 7.9.03 4.108.1028

How to cite

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Yuzhong Ding, Fuguo Ge, and Chenglong Wu. "BCI-homomorphisms." Formalized Mathematics 16.4 (2008): 371-376. <http://eudml.org/doc/267490>.

@article{YuzhongDing2008,
abstract = {In this article the notion of the power of an element of BCI-algebra and its period in the book [11], sections 1.4 to 1.5 are firstly given. Then the definition of BCI-homomorphism is defined and the fundamental theorem of homomorphism, the first isomorphism theorem and the second isomorphism theorem are proved following the book [9], section 1.6.MML identifier: BCIALG 6, version: 7.9.03 4.108.1028},
author = {Yuzhong Ding, Fuguo Ge, Chenglong Wu},
journal = {Formalized Mathematics},
language = {eng},
number = {4},
pages = {371-376},
title = {BCI-homomorphisms},
url = {http://eudml.org/doc/267490},
volume = {16},
year = {2008},
}

TY - JOUR
AU - Yuzhong Ding
AU - Fuguo Ge
AU - Chenglong Wu
TI - BCI-homomorphisms
JO - Formalized Mathematics
PY - 2008
VL - 16
IS - 4
SP - 371
EP - 376
AB - In this article the notion of the power of an element of BCI-algebra and its period in the book [11], sections 1.4 to 1.5 are firstly given. Then the definition of BCI-homomorphism is defined and the fundamental theorem of homomorphism, the first isomorphism theorem and the second isomorphism theorem are proved following the book [9], section 1.6.MML identifier: BCIALG 6, version: 7.9.03 4.108.1028
LA - eng
UR - http://eudml.org/doc/267490
ER -

References

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  1. [1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
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  7. [7] Yuzhong Ding. Several classes of BCI-algebras and their properties. Formalized Mathematics, 15(1):1-9, 2007. 
  8. [8] Yuzhong Ding and Zhiyong Pang. Congruences and quotient algebras of BCI-algebras. Formalized Mathematics, 15(4):175-180, 2007. 
  9. [9] Yisheng Huang. BCI-algebras. Science Press, 2006. 
  10. [10] Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relative primes. Formalized Mathematics, 1(5):829-832, 1990. 
  11. [11] Jie Meng and YoungLin Liu. An Introduction to BCI-algebras. Shaanxi Scientific and Technological Press, 2001. 
  12. [12] Konrad Raczkowski and Paweł Sadowski. Equivalence relations and classes of abstraction. Formalized Mathematics, 1(3):441-444, 1990. 
  13. [13] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990. 
  14. [14] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  15. [15] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 

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