On Generalized Upper Sets and Generalized Terminal Sections in Pseudo BE- Algebras
Abstract
The aim of this paper is to introduce the notions of generalized upper sets and generalized terminal sections in pseudo BE-algebras. Next, their properties are investigate. Furthermore, these sets are considered in distributive pseudo BE-algebras. Finally, we provide the relationship between distributive pseudo BE-algebras and pseudo filter. Keywords : pseudo BE-algebra, generalized upper set, generalized terminal section, distributive, pseudo filterReferences
Ahn S. S., Kim Y. H., & Ko J. M. (2012). Filters in commutative BE-algebras . Communications of the
Korean Mathematical Society, 2, 233-242. http://doi.org/10.4134/CKMS.2012.27.2.233
Ahn S. S., & So K .S. (2009). On generalized upper sets in BE-algebras. Bulletin of the Korean
Mathematical Society, 46(2), 281-287. http://dx.doi.rog/10.4134/BKMS.2009.46.2.281
Ahn S. S. & So K. S. (2008). On ideals and upper sets in BE-algebras. Scientiae Mathematicae Japonicae,
68(2), 289-295.
Borzooei R. A., Borumand Saeid A., Rezaei A., Radfar A., & Ameri R. (2013). On pseudo BE-
algebras. Discussiones Mathematica, General Algebra and Applications, 33, 95-108.
Borzooei R. A., Borumand Saeid A., Rezaei A., Radfar A., & Ameri R. (2015). Distributive pseudo BE-
algebras. Fasciculi Mathematic, 54, 21-39. https://doi.org/10.1515/fascmath-2015-0002
Kim H. S., & Kim Y. H. (2007). On BE-algebras. Scientiae Mathematicae Japonicae, 66(1), 113-117.
Pumila A., Niamnuam K., Khamtum R., & Boonard S. (2017). On generalized upper sets and generalized terminal
sections in BE-algebras. Journal of Science and Technology Mahasarakham University, 36(6), 678-684.
(in Thai)
Korean Mathematical Society, 2, 233-242. http://doi.org/10.4134/CKMS.2012.27.2.233
Ahn S. S., & So K .S. (2009). On generalized upper sets in BE-algebras. Bulletin of the Korean
Mathematical Society, 46(2), 281-287. http://dx.doi.rog/10.4134/BKMS.2009.46.2.281
Ahn S. S. & So K. S. (2008). On ideals and upper sets in BE-algebras. Scientiae Mathematicae Japonicae,
68(2), 289-295.
Borzooei R. A., Borumand Saeid A., Rezaei A., Radfar A., & Ameri R. (2013). On pseudo BE-
algebras. Discussiones Mathematica, General Algebra and Applications, 33, 95-108.
Borzooei R. A., Borumand Saeid A., Rezaei A., Radfar A., & Ameri R. (2015). Distributive pseudo BE-
algebras. Fasciculi Mathematic, 54, 21-39. https://doi.org/10.1515/fascmath-2015-0002
Kim H. S., & Kim Y. H. (2007). On BE-algebras. Scientiae Mathematicae Japonicae, 66(1), 113-117.
Pumila A., Niamnuam K., Khamtum R., & Boonard S. (2017). On generalized upper sets and generalized terminal
sections in BE-algebras. Journal of Science and Technology Mahasarakham University, 36(6), 678-684.
(in Thai)
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Published
2018-09-10
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Research Article
