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Monoidal closedness of $L$-generalized convergence spaces | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 12، دوره 16، شماره 5، آذر و دی 2019، صفحه 139-153 اصل مقاله (183.69 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2019.4913 | ||
نویسندگان | ||
L. Zhang* ؛ J. Fang؛ W. Wang | ||
Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R. China | ||
چکیده | ||
In this paper, it is shown that the category of stratified $L$-generalized convergence spaces is monoidal closed if the underlying truth-value table $L$ is a complete residuated lattice. In particular, if the underlying truth-value table $L$ is a complete Heyting Algebra, the Cartesian closedness of the category is recaptured by our result. | ||
کلیدواژهها | ||
Complete residuated lattice؛ stratified $L$-generalized convergence space؛ monoidal closedness؛ stratified $L$-filter؛ category theory | ||
مراجع | ||
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