In the shadows of a hypergraph: looking for associated primes of powers of square-free monomial ideals
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DOI: 10.1007/s10801-019-00915-5
Abstract: The aim of this paper is to study the associated primes of powers of square-free monomial ideals. Each square-free monomial ideal corresponds uniquely to a finite simple hypergraph via the cover ideal construction, and vice… read more here.
Keywords: free monomial; hypergraph; associated primes; square free ... See more keywords
Assassins and Torsion Functors
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DOI: 10.1007/s40306-017-0233-0
Abstract: Let R be a ring, let ????⊆R$\mathfrak {a}\subseteq R$ be an ideal, and let M be an R-module. Let Γ????${\Gamma }_{\mathfrak {a}}$ denote the ????$\mathfrak {a}$-torsion functor. Conditions are given for the (weakly) associated primes… read more here.
Keywords: weakly associated; assassins torsion; associated primes; mathfrak weakly ... See more keywords
Associated primes and primary right ideals of generalized triangular matrix rings
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DOI: 10.1080/00927872.2018.1508579
Abstract: Abstract Let be an (S, R)-bimodule of the rings R and S. We determine the associated primes of a formal triangular matrix ring Indeed, we show that We then obtain necessary and sufficient conditions for… read more here.
Keywords: triangular matrix; matrix; right ideals; associated primes ... See more keywords
Associated primes of powers of edge ideals and ear decompositions of graphs
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DOI: 10.1090/tran/7662
Abstract: In this paper, we give a complete description of the associated primes of every power of the edge ideal in terms of generalized ear decompositions of the graph. This result establishes a surprising relationship between… read more here.
Keywords: ear decompositions; powers edge; associated primes; ideals ear ... See more keywords