2 citations · 4 across the 23 of their papers we have counts for
5 papers · 1 filter
An Introduction to Torsors in Mathematics with a View Toward -Protocols in Cryptography
Takao Inoué
This paper provides a preparatory introduction to torsors, written with a view toward later applications in the author's work. Rather than aiming at a comprehensive survey, the exp…
Modular Cocycles and Haar-Type Measures on Topological Loops
Takao Inoué
This paper is a continuation of the author's companion work \cite{InoueQuasi} on Haar-type measures for topological quasigroups, where the quasigroup setting was analyzed in connec…
Haar-Type Measures on Topological Quasigroups and Kunen's Theorem
Takao Inoué
Haar measure is a fundamental structure in harmonic analysis on locally compact groups. Its existence reflects the compatibility between topology and the associative algebraic stru…
Chirality and Racemization on Isotopy Classes of Loops: A Groupoid-Based Structural Theory
Takao Inoué
We develop a theory of chirality and racemization on isotopy classes of finite loops, formulated intrinsically within the loop isotopy groupoid understood in the categorical sense.…
A Structural Fixed-Point Principle in Kunen's Theorem on Quasigroups
Takao Inoué
Kunen proved that a quasigroup satisfying a Moufang-type identity () must be a loop. We reformulate the argument in the category as a fixed-point extraction prin…