Several Classes of BCI-algebras and their Properties

• Autorzy: Yuzhong Ding
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2007
• Tom: 15
• Numer: 1
• Strony: 1-9

Daty

wydano

2007-01-01

online

2008-06-13

Twórcy

autor

Yuzhong Ding

• Qingdao University of Science and Technology, China

Bibliografia

• [1] Józef Białas. Group and field definitions. Formalized Mathematics, 1(3):433-439, 1990.
• [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. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
• [5] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.
• [6] Jie Meng and YoungLin Liu. An Introduction to BCI-algebras. Shaanxi Scientific and Technological Press, 2001.
• [7] Michał Muzalewski. Midpoint algebras. Formalized Mathematics, 1(3):483-488, 1990.
• [8] Michał Muzalewski. Construction of rings and left-, right-, and bi-modules over a ring. Formalized Mathematics, 2(1):3-11, 1991.
• [9] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.
• [10] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.
• [11] Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.
• [12] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
• [13] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
• [14] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

Identyfikatory

DOI

10.2478/v10037-007-0001-z