Abstract:Abstract. Let R be a commutative ring R with 1 R and with group of units R × . Let Φ = Φ(t 1 , . . . , t h ) = h i=1 ϕ i t i be an h-ary linear form with nonzero coefficients ϕ 1 , . . . , ϕ h ∈ R. Let M be an R-module. For every subset A of M , the image of A under Φ isFor every subset I of {1, 2, . . . , h}, there is the subset sum s I = i∈I ϕ i . Let S(Φ) = {s I : ∅ = I ⊆ {1, 2, . . . , h}}. The difference set A − A is the image of A under the linear form Υ(t 1 , t 2 ) = t 1 − t 2 and the h-fold sumset hA i… Show more
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.