3 papers
math.GN2026
d-Spectral Bitopological Spaces
Hang Yang, Dexue Zhang
We introduce and study the category of \emph{d-spectral spaces}, a bitopological analogue of the classical spectral spaces of Stone and Hochster. A d-spectral space is a compact, d…
math.GN2025
d-Boolean algebras and their bitopological representation
Hang Yang, Dexue Zhang
We present a Stone duality for bitopological spaces in analogy to the duality between Stone spaces and Boolean algebras, in the same vein as the duality between d-sober bitopologic…
math.RT2024
Classification of weak Bruhat interval modules of -Hecke algebras
Yong Liao, Han Yang, Houyi Yu
Weak Bruhat interval modules of the -Hecke algebra in type offer a unified framework for studying modules associated to quasisymmetric functions. This class of modules has r…