2022/10/16 by Shiji Lyu, Lyu, Shiji
Computer Science · Mathematics · #Advanced Algebra and Logic #semigroups and automata theory #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.2210.08581
We study some permanence properties of the relative F-rational signature defined and studied by Smirnov--Tucker. We show that this invariant is compatible with the gamma-construction, and then derive other main results from the F-finite case established by Smirnov--Tucker. We also obtain limited results about the F-rational signature defined and studied by Hochster--Yao. We explore some features of the gamma-construction along the way, which may be of independent interest.