A Riemann integral is defined and shown equal to the Darboux integral for locally band preserving functions on Dedekind complete f-algebras, with a Fundamental Theorem of Calculus connecting to order differentiability.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The Riemann integral on Dedekind complete $f$-algebras
A Riemann integral is defined and shown equal to the Darboux integral for locally band preserving functions on Dedekind complete f-algebras, with a Fundamental Theorem of Calculus connecting to order differentiability.