Several Classes of BCI-algebras and their Properties
Yuzhong Ding
Formalized Mathematics, Tome 15 (2007), p. 1-9 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:266680 
@article{bwmeta1.element.doi-10_2478_v10037-007-0001-z,
     author = {Yuzhong Ding},
     title = {Several Classes of BCI-algebras and their Properties},
     journal = {Formalized Mathematics},
     volume = {15},
     year = {2007},
     pages = {1-9},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-007-0001-z}
}

Yuzhong Ding. Several Classes of BCI-algebras and their Properties. Formalized Mathematics, Tome 15 (2007) pp. 1-9. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-007-0001-z/

[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.