Ambhore, Siddhi BaluSiddhi BaluAmbhoreSengupta, IndranathIndranathSengupta2025-08-312025-08-312024-09-0110.1142/S10053867240003362-s2.0-85202891493https://d8.irins.org/handle/IITG2025/28753We find an explicit expression of the associated primes of monomial ideals as a colon by an element v, using the unique irredundant irreducible decomposition whose irreducible components are monomial ideals. An algorithm to compute v is given using Macaulay2. For squarefree monomial ideals the problem is related to the combinatorics of the underlying clutter or graph. For ideals of Borel type, the monomial v takes a simpler form, and we classify when v is unique.falseassociated primes | colon ideals | monomial idealsArticle02191733441-4501 September 20240arJournal0WOS:001300691700008