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Formalized Mathematics

(a computer assisted approach)

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Volume 15, Issue 1 (Jan 2007)

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Several Classes of BCI-algebras and their Properties

Yuzhong Ding
  • Qingdao University of Science and Technology, China
Published Online: 2008-06-13 | DOI: https://doi.org/10.2478/v10037-007-0001-z

Several Classes of BCI-algebras and their Properties

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

  • [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.

About the article


Published Online: 2008-06-13

Published in Print: 2007-01-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-007-0001-z. Export Citation

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[1]
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[2]
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