
تعداد نشریات | 26 |
تعداد شمارهها | 447 |
تعداد مقالات | 4,557 |
تعداد مشاهده مقاله | 5,380,003 |
تعداد دریافت فایل اصل مقاله | 3,580,074 |
On Product Stable Quotient Order-homomorphisms | ||
Journal of Mahani Mathematical Research | ||
دوره 10، شماره 1، مرداد 2021، صفحه 27-36 اصل مقاله (485.59 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.14803.1103 | ||
نویسندگان | ||
Ghasem Mirhosseinkhani* 1؛ Narges Nazari2 | ||
1Department of mathematices, sirjan university of technology | ||
21Department of Mathematics, University of Hormozgan, Bandarabbas, Iran | ||
چکیده | ||
In this paper, we study the properties of some classes of quotient order-homomorphisms, as product stable in the category of topological fuzzes. We dene the concept of a bi-quotient order-homomorphism and show that for Hausdorff topological fuzzes, a quotient order-homomorphism f : L1 ! L2 is product stable if and only if f is bi-quotient and L2 is a core compact topological fuzz. | ||
کلیدواژهها | ||
Topological fuzzez؛ quotient order-homomorphism؛ product stable | ||
مراجع | ||
[1] J. Adamek, H. Herrlich and G.E. Strecker, Abstract and concrete categories, John Wiley and Sons Inc., New York, 1990. [2] M. Akbarpour and GH. Mirhosseinkhani, Exponentiable objects in some categories of topological molecular lattices, Hadronic Journal, 40 (2017), 327{344. [3] S.Z. Bai, Q-convergence of ideals in fuzzy lattices and its applications, Fuzzy Sets and Systems, 92 (1997), 357{363. [4] C.L. Chang, Fuzzy topology spaces, J. Math. Anal. Appl., 24 (1968), 182{190. [5] Y. Chen, Convergence in topological molecular lattices, Fuzzy Sets and Systems, 84 (1996), 97{102. [6] S.L. Chen and Z.X. Wu, Urysohn separation property in topological molecular lattices, Fuzzy Sets and Systems, 123 (2001), 177{184. [7] B.J. Day and G.M. Kelly, On topological quotient maps preserved by pullback or prod- ucts, Proc. Cambridge Phil. Soc., 67 (1970), 553{558. [8] M. Demirci, Category theoretic fuzzy topological spaces and their dualities, Fuzzy Sets and Systems, 227 (2013), 1{24. [9] K. El-Saady and F. Al-Nabbat, Generalized topological molecular lattices, Advances in Pure Mathematics, 5 (2015), 552{559. [10] K. El-Saady and A. Ghareeb, Net-convergence and weak separation axioms in (L;M)- fuzzy topological molecular lattices, J. Egyptian Math. Soc., 21 (2013), 305{310. [11] MH. Escardo and R. Heckmann, Topologies on spaces of continuous functions, Topology Proceedings, 26 (2001-2002), 545{565. [12] B. Hutton, Product of fuzzy topological spaces, Topology Appl., 11 (1980), 59{67. [13] B. Hutton and I. Reilly, Separation axioms in fuzzy topological spaces , Fuzzy Sets and Systems, 3 (1980), 93{104. [14] Y.M. Li, Exponentiable objects in the category of topological molecular lattices, Fuzzy Sets and Systems, 104 (1999), 407{414. [15] Y.M. Li and Z.H. Li, Top is a re ective and core ective subcategory of fuzzy topological spaces, Fuzzy Sets and Systems, 116 (2000), 429{432. [16] Y.M. Li and G.J. Wang, Re ectiveness and core ectiveness between the category of topological spaces, the category of fuzzy topological spaces and the category of topological molecular lattices, Acta Math. Sinica, 41(4) (1998), 731{736. [17] E. Michael, Bi-quotient maps and cartesian products of quotient maps, Annales de L, institute Fourier, 18 (1968), 287{302. [18] Gh. Mirhosseinkhani, Relative compactness and product stable quotient maps, Bull. Ira- nian Math., 36 (2010), 93{101. [19] Gh. Mirhosseinkhani, On product stable quotient maps, Algebras Groups and Geome- tries, 25 (2008), 343{352. [20] N. Nazari and GH. Mirhosseinkhani, On generalized topological molecular lattices, Sa- hand Communications in Mathematical Analysis, 10(1) (2018), 1{15. [21] G.J. Wang, Theory of topological molecular lattices, Fuzzy Sets and Systems, 47 (1992), 351{376. [22] G.J. Wang, Order-homomorphisms on fuzzes, Fuzzy Sets and Systems, 12 (1984), 281{ 288. [23] Z. Yang, The cartesian closedness of the category Fuzz and function spaces on topological fuzzes, Fuzzy Sets and Systems, 61 (1994), 341{351. | ||
آمار تعداد مشاهده مقاله: 262 تعداد دریافت فایل اصل مقاله: 244 |