A NOTE ON STRATIFIED LM-FILTERS

نویسندگان

1 Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa

doi
10.22111/ijfs.2013.1053
چکیده

We develop a theory of stratified $LM$-filters which generalizes the theory of stratified $L$-filters. Our stratification condition explicitly depends on a suitable mapping between the lattices $L$ and $M$. If $L$ and $M$ are identical and the mapping is the identity mapping, then we obtain the theory of stratified $L$-filters. Based on the stratified $LM$-filters, a general theory of lattice-valued convergence spaces can be developed.