BCI-homomorphisms

• Autorzy: Yuzhong Ding , Fuguo Ge , Chenglong Wu
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2008
• Tom: 16
• Numer: 4
• Strony: 371-376

Daty

wydano

2008-01-01

online

2009-03-20

Twórcy

autor

Yuzhong Ding

• Qingdao University of Science and Technology, China

autor

Fuguo Ge

• Qingdao University of Science and Technology, China

autor

Chenglong Wu

• Qingdao University of Science and Technology, China

Bibliografia

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• [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.

Identyfikatory

DOI

10.2478/v10037-008-0045-8