Colon Structure of Associated Primes of Monomial Ideals  

作　　者：Siddhi Balu Ambhore Indranath Sengupta 

机构地区：[1]Discipline of Mathematics,IIT Gandhinagar,Palaj,Gandhinagar,Gujarat 382355,India

出　　处：《Algebra Colloquium》2024年第3期441-450,共10页代数集刊（英文版）

基　　金：Supported by the MATRICS research grant MTR/2018/000420;sponsored by the SERB Government of India.

摘　　要：We find an explicit expression of the associated primes of monomial ideals as a colon by an element,using the unique irredundant irreducible decomposition whose irreducible components are monomial ideals.An algorithm to compute 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 u takes a simpler form,and we classify when is unique.

关 键 词：monomial ideals associated primes colon ideals 

分 类 号：O15[理学—数学]