Computability of the (co)homology of cyclic monoids

TL;DR

This paper computes Leech's (co)homology groups for finite cyclic monoids, providing explicit calculations and insights into their algebraic structure.

Contribution

It presents the first explicit computation of Leech's (co)homology groups for finite cyclic monoids, advancing understanding in algebraic topology.

Findings

Explicit formulas for (co)homology groups of finite cyclic monoids

Enhanced understanding of algebraic invariants in monoid theory

Foundation for further algebraic topology research

Abstract

Leech's (co)homology groups of finite cyclic monoids are computed.