10 citations · 13 across the 3 of their papers we have counts for
3 papers
math.RA2015★ 2 cited
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…
math.AC2011★ 1 cited
Integer-valued polynomials, -closure, and associated primes
Jesse Elliott
Given an integral domain with quotient field , the ring of integer-valued polynomials on D is the subring of the polynomial ring .…
math.RA2011★ 10 cited
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…