Integrations on rings

Abstract

In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring. We also investigate basic properties of such generalized integrals and compare them to the well-known properties of indefinite integrals of real functions.

Keywords

• ring
• integration
• jordan integration
• derivation
• jordan derivation
• 16w25
• 17c50
• 16w10
• 16w99