An **N-monoid** is a concept in the field of algebra, specifically in the study of algebraic structures known as monoids. A monoid is a set equipped with an associative binary operation and an identity element. 1. **Basic Definition of a Monoid**: - A set \( M \) along with a binary operation \( \cdot: M \times M \to M \) (often written simply as juxtaposition, i.e.
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