Presentations for (singular) partition monoids: a new approach
James East
TL;DR
This paper introduces a new, concise method for proving the presentations of the partition monoid and its singular ideal, simplifying previous proofs and enhancing understanding of their algebraic structure.
Contribution
The paper provides a novel, streamlined approach to deriving presentations for partition monoids and their singular ideals, improving upon earlier complex proofs.
Findings
Simplified proofs of partition monoid presentations
New insights into the algebraic structure of singular ideals
Enhanced clarity in algebraic presentations
Abstract
We give new, short proofs of the presentations for the partition monoid and its singular ideal originally given in the author's 2011 papers in J Alg and IJAC.
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