Monoidal closedness of $L$-generalized convergence spaces

نویسندگان
Zhang, L. ID 1
Fang, J. ID 2
Wang, W. ID 3

1 Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R. China

2 Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R. China

3 Department of Mathematics, Ocean University of China, 238 Songling Road, 266100, Qingdao, P.R. China

doi
10.22111/ijfs.2019.4913
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