Fuzzy prime spectrum of ∁-algebras

다국어 초록 (Multilingual Abstract)

In this paper, we define fuzzy prime ideals of $ C- $algebras and investigate some of their properties. Furthermore, we study the topological properties of the space of fuzzy prime ideals of $ C- $algebra equipped with the hull-kernel topology.

참고문헌 (Reference)

1 F. Guzman, "The algebra of conditional logic" 27 : 88-110, 1990

2 U. M. Swamy, "Semilattice structures on a C-algebra" 33 : 551-561, 2009

3 S. K. Vali, "Prime spectrum of a C-algebra" 4 : 295-303, 2011

4 G. Birkhoof, "Lattice theory" 24 : 1967

5 B. A. Alaba, "L-Fuzzy prime ideals in universal algebras" 2019 : 7-, 2019

6 S. K. Vali, "Ideals of C-algebras" 3 : 501-509, 2010

7 S. K. Vali, "Ideal congruences on C-algebras" 3 : 295-303, 2010

8 G. Gratzer, "General lattice theory" Academic Press 1978

9 A. K. Katsaras, "Fuzzy vector spaces and fuzzy topological vector spaces" 58 : 135-146, 1977

10 L. A. Zadeh, "Fuzzy sets" 8 : 338-353, 1965

11 U. M. Swamy, "Fuzzy prime ideals of rings" 134 : 94-103, 1988

12 C. K. Wong, "Fuzzy point and local properties of fuzzy topology" 46 : 316-328, 1974

13 W. J. Liu, "Fuzzy invariant subgroups and fuzzy ideals" 8 : 133-139, 1982

14 Y. Bo, "Fuzzy ideals on a distributive lattice" 35 : 231-240, 1990

15 B. A. Alaba, "Fuzzy ideals of C-algebras" 16 (16): 21-31, 2018

16 Berhanu Assaye Alaba, "Fuzzy congruence relations on almost distributive lattices" 기초자연과학연구소 14 (14): 315-330, 2017

17 A. Rosenfeld, "Fuzzy Groups" 35 : 512-517, 1971

18 G. C. Rao, "Decomposition of a C-algebra" 1-8, 2006

19 U. M. Swamy, "Centre of a C-algebra" 27 : 357-368, 2003

20 G. C. Rao, "C-algebra as a poset" 4 : 225-236, 2005

21 Berhanu Assaye Alaba, "$L$-fuzzy semi-prime ideals in universal algebras" 강원경기수학회 27 (27): 329-342, 2019

22 Berhanu Assaye Alaba, "$L$-fuzzy ideals in universal algebras" 기초자연과학연구소 17 (17): 31-39, 2019