# BCI-homomorphisms

Yuzhong Ding; Fuguo Ge; Chenglong Wu

Formalized Mathematics (2008)

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

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topYuzhong 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

top- [1] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
- [2] Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.
- [3] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
- [4] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
- [5] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.
- [6] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
- [7] Yuzhong Ding. Several classes of BCI-algebras and their properties. Formalized Mathematics, 15(1):1-9, 2007.
- [8] Yuzhong Ding and Zhiyong Pang. Congruences and quotient algebras of BCI-algebras. Formalized Mathematics, 15(4):175-180, 2007.
- [9] Yisheng Huang. BCI-algebras. Science Press, 2006.
- [10] Rafał Kwiatek and Grzegorz Zwara. The divisibility of integers and integer relative primes. Formalized Mathematics, 1(5):829-832, 1990.
- [11] Jie Meng and YoungLin Liu. An Introduction to BCI-algebras. Shaanxi Scientific and Technological Press, 2001.
- [12] Konrad Raczkowski and Paweł Sadowski. Equivalence relations and classes of abstraction. Formalized Mathematics, 1(3):441-444, 1990.
- [13] Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.
- [14] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
- [15] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.

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