3 citations · 20 across the 18 of their papers we have counts for
5 papers · 1 filter
Enriched categories and tropical mathematics
Soichiro Fujii
This is a survey paper on the connection of enriched category theory over a quantale and tropical mathematics. Quantales or complete idempotent semirings, as well as matrices with…
A Categorical Approach to L-Convexity
Soichiro Fujii
We investigate an enriched-categorical approach to a field of discrete mathematics. The main result is a duality theorem between a class of enriched categories (called $\overline{\…
A 2-Categorical Study of Graded and Indexed Monads
Soichiro Fujii
In the study of computational effects, it is important to consider the notion of computational effects with parameters. The need of such a notion arises when, for example, statical…
A unified framework for notions of algebraic theory
Soichiro Fujii
Universal algebra uniformly captures various algebraic structures, by expressing them as equational theories or abstract clones. The ubiquity of algebraic structures in mathematics…
Foundations of Algebraic Theories and Higher Dimensional Categories
Soichiro Fujii
Universal algebra uniformly captures various algebraic structures, by expressing them as equational theories or abstract clones. The ubiquity of algebraic structures in mathematics…