10 citations · 13 across the 13 of their papers we have counts for
4 papers · 1 filter
Additive subgroups of a module that are saturated with respect to a subset of the ring
Jesse Elliott, Neil Epstein
Let be a subset of a ring , and let be an -module. We study the additive subgroups of such that, for all , if for some , then $x…
Nuclei and applications to star, semistar, and semiprime operations
Jesse Elliott
We show that the theory of quantales and quantic nuclei motivate new results on star operations, semistar operations, semiprime operations, ideal systems, and module systems, and c…
Prequantales and applications to semistar operations and module systems
Jesse Elliott
We show that a generalization of quantales and prequantales provides a noncommutative and nonassociative abstract ideal theoretic setting for the theories of star operations, semis…
Near prequantales and applications to star and semistar operations and ideal and module systems
Jesse Elliott
We show that a generalization of the theory of quantales and prequantales provides a noncommutative and nonassociative abstract ideal theoretic setting for the theories of star ope…