3 papers
math.GR2024
One-sided identity and zero sets and an elementary approach to the Rees-Sushkevich Theorem
Julia Maddox
For a groupoid with elements and , if , then is a left identity of and is a right zero of . We define the left identity set of to be the set o…
math.RA2022
Alternate Definitions of Vector Space Dimension and Module Rank Using Isomorphisms
Julia Maddox
The standard definition of the dimension of a vector space or rank of a module states that dimension or rank is equal to the cardinality of any basis, which requires an understandi…
math.RT2013
An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2r)
Julia Maddox
By bivariate irreducible representations of , we mean irreducible representations with highest weights containing at most two nonzero entries, using the usual identif…