Hilbert Implication Algebra and Some Properties

被引：1

作者：

Gerima Tefera D. ^{[1
]}

机构：

[1] Department of Mathematics, Wollo University, College of Natural Science, Dessie

来源：

Journal of Applied Mathematics | 2021年 / 2021卷

关键词：

921.1; Algebra;

D O I：

10.1155/2021/3635185

中图分类号：

学科分类号：

摘要：

The concepts of Hilbert implication algebra and generalized Hilbert implication algebra are introduced. The comparison theorem of Hilbert implication algebra and generalized Hilbert implication algebra is proved. In addition, the idea of groupoid and commutative Hilbert implication algebras is investigated. Ideals and filters in Hilbert implication algebras are also discussed. In general, different theorems which show different properties are proved. © 2021 Dejen Gerima Tefera.

引用

共 7 条

[1]

Roh E.H., Kim S.Y., Xu Y., Jun Y.B., Some operations in lattice implication algebras, International Journal of Mathematics and Mathematical Sciences, 27, 1, (2001)

[2]

Halas R., Remarks on commutative Hilbert algebras, Mathematica Bohemica, 127, 4, pp. 525-529, (2002)

[3]

Chajda I., Implication algebras, Discussion Mathematica General Algebra and Application, 26, 2, pp. 141-153, (2006)

[4]

Borzooei R.A., Shohani J., On generalized Hilbert algebras, Italian Journal of Pure and Applied Mathematics, 29, pp. 71-80, (2012)

[5]

Assaye B., Alemneh M., Tefera G., B-Almost distributive fuzzy lattice, Bulletin of the Section of Logic, 47, 3, pp. 171-185, (2018)

[6]

Dejen G.T., Pseudo-supplemented almost distributive fuzzy lattices, Journal of Applied Mathematics and Computation, 5, 2, pp. 119-123, (2021)

[7]

Gerima T., Endris Y., Fasil G., Ideals and filters on implication algebras, Advances in Mathematics: Scientific Journals, 10, 3, pp. 1167-1174, (2020)

← 1 →