Research ArticleOpen accessEvery word in the titleHomomorphisms on Lattices of MeasuresNorris Sookoo, Peter ChamiProblem statement: Homomorphisms on lattices of measures defined on the quotient spaces of the integers were considered. These measures were defined in terms of Sharma-Kaushik partitions. The homomorphisms were studied in terms of their relationship with the underlying Sharma-Kaushik partitions. Approach: We defined certain mappings between lattices of Sharma-Kaushik partitions and showed that they are homomorphisms. These homomorphisms were mirrored … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 7,009 accessesView PDFCite
Research ArticleOpen accessIn the keywordsFuzzy Subalgebras and Fuzzy T-ieals in TM-AlgebrasKandasamy Megalai, Angamuthu TamilarasiIn this study, we introduce the concepts of fuzzy subalgebras and fuzzy ideals in TM-algebras and investigate some of its properties. Problem statement: Let X be a TM-algebra, S be a subalgebra of X and I be a T-ideal of X. Let µ and v be fuzzy sets in a TM-algebra X. Approach: Define the upper level subset µt of … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 8,720 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNearly Partial Derivations on Banach Ternary AlgebrasM. Eshaghi, M. B. Savadkouhi, M. Bidkham et al.Problem statement: In this study, we introduce the concept of a partial ternary derivation from A1 ×···× An into B, where A1, A2···, An and B are ternary algebras. Conclusion/Recommendations: We prove the generalized Hyers-Ulam stability of partial ternary derivations in Banach ternary algebras. …Journal of Computer Science, Vol. 6, Issue 4 · 31 Dec 2010 · 7,064 accessesView PDFCite