37 citations · 73 across the 3 of their papers we have counts for
4 papers
On the Associativity of Infinite Matrix Multiplication
Daniel P. Bossaller, Sergio R. López-Permouth
A natural definition of the product of infinite matrices mimics the usual formulation of multiplication of finite matrices with the caveat (in the absence of any sense of convergen…
Group Structures on Families of Subsets of a Group
Mario Gómez, Sergio R. López-Permouth, Fernando Mazariegos +2
A binary operation on any set induces a binary operation on its subsets. We explore families of subsets of a group that become a group under the induced operation and refer to such…
An alternative perspective on projectivity of modules
Chris Holston, Sergio R. López-Permouth, Joe Mastromatteo +1
Similar to the idea of relative projectivity, we introduce the notion of relative subprojectivity, which is an alternative way to measure the projectivity of a module. Given module…
Characterizing rings in terms of the extent of injectivity and projectivity of their modules
Sergio R. López-Permouth, José E. Simental
Given a ring R, we define its right i-profile (resp. right p-profile) to be the collection of injectivity domains (resp. projectivity domains) of its right R-modules. We study the…