Name
Abstract | ||
|---|---|---|
We make various observations on infinitary addition in the context of the series monoids introduced in our previous paper on real sets. In particular, we explore additional conditions on such monoids suggested by Tarski’s Arithmetic of Cardinal Algebras, and present a monad-theoretic construction that generalizes our construction of paradoxical real numbers. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s10485-018-9524-4 | Applied Categorical Structures |
Keywords | Field | DocType |
Infinitary addition, Series monoid, Commutative monoid, Summation, Positive reals, Cardinal algebra, Taut monad, Lextensive category, Monoidal category, 08A65, 18C15, 20M14, 20M50, 40C99, 18D10 | Discrete mathematics,Monoidal category,Pure mathematics,Monoid,Real number,Monad (functional programming),Mathematics | Journal |
Volume | Issue | ISSN |
26 | 5 | 0927-2852 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| George Janelidze | 1 | 40 | 33.99 |
| Ross Street | 2 | 2 | 1.88 |