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 ...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.展开更多
Let R is a noetherian ring,M is a finitely generated R-module.This paper studies the relation between associated prime Ass(M/N)and annihilator Ann(M/N),and has given the necessary and sufficient conditions of Ass(M/N)...Let R is a noetherian ring,M is a finitely generated R-module.This paper studies the relation between associated prime Ass(M/N)and annihilator Ann(M/N),and has given the necessary and sufficient conditions of Ass(M/N)=Ann(M/N).展开更多
基金Supported by the MATRICS research grant MTR/2018/000420sponsored by the SERB Government of India.
文摘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.
文摘Let R is a noetherian ring,M is a finitely generated R-module.This paper studies the relation between associated prime Ass(M/N)and annihilator Ann(M/N),and has given the necessary and sufficient conditions of Ass(M/N)=Ann(M/N).
