On Algebraic Integral

Puntos clave

• This work aims to extend the concept of integration to monoid actions and classify regular integrals over real numbers.
• Generalized integration from analysis to monoid actions.
• Established a representation of regular integrals by bijective crossed-homomorphisms.
• Provided a complete classification of regular integrals over the real numbers.
• Presented an algebraic method of integration.
• Achieved comprehensive classification of regular integrals in the context of monoid actions.
• Demonstrated the representation of regular integrals through bijections.