On Filters of Residuated Lattice

College of Education, Nanyang Institute of Technology, Nanyang 473061, China; Hebi Vocational Technical College, Hebi 458030, China

Received:2005-12-24 Online:2006-09-30 Published:2023-11-29
About author:SHEN Jian-guo(1959-),male,native of Nanyang,Henan,an associate Nanyang Institute of Technology,M.S.D.,engages in non-classical logic algebras.

CLC Number:

SHEN Jian-guo, ZHANG Xiao-hua . On Filters of Residuated Lattice[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 443-447.

[1]	LIU Chun-hui. The Lattice of （∈, ∈ ∨ q_k)-fuzzy Filters in a Given R₀-algebra [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(2): 144-155.
[2]	HE Peng-fei, YANG Yong-wei, XIN Xiao-long. On Rough Intuitionistic Fuzzy Ideals(Filters) in Lattices [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(3): 381-391.
[3]	YANG Yong-wei, XIN Xiao-long, HE Peng-fei . (∈_γ ,∈_γVq_δ) -intuitionistic Fuzzy(Soft) Filter of BL-algebras [J]. Chinese Quarterly Journal of Mathematics, 2014, 29(1): 65-75.
[4]	LIU Chun-hui, XU Luo-shan. Fuzzy MP-ﬁlters Lattice on a Given FI-algebra [J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 625-632.
[5]	LIU Chun-hui, XU Luo-shan. Prime MP-ﬁlter Spaces of Fuzzy Implication Algebras [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 246-253.
[6]	ZHANG Xiao-hua, SHEN Jian-guo. On Lattice Structure of Filters in Residuated Lattices [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 252-257.
[7]	WANG Xue-fang, XU Yang, SONG Zhen-ming. Subdirectly Irreducible and Directly Indecomposable Lattice Implication Algebras [J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4): 385-392.

PDF (PC)