We construct normal hypersurfaces whose local cohomology modules have infinitely many associated primes. These include unique factorization domains of characteristic zero with rational singularities, as well as F-regular unique factorization domains of positive characteristic. As a consequence, we answer a question on the associated primes of Frobenius powers of ideals, which arose from the loc...

The article focuses on four aspects related to the descent algebras of type A. They are modular idempotents, higher Lie powers, modules and right ideals symmetric group generated by Solomon's elements. More precisely, we give a construction for describe dimension character powers study structures both in ordinary cases.

We introduce and study vertex cover algebras of weighted simplicial complexes. These algebras are special classes of symbolic Rees algebras. We show that symbolic Rees algebras of monomial ideals are finitely generated. Dedicated to Winfried Bruns on the occasion of his sixtieth birthday

We introduce and study vertex cover algebras of weighted simplicial complexes. These algebras are special classes of symbolic Rees algebras. We show that symbolic Rees algebras of monomial ideals are finitely generated. Dedicated to Winfried Bruns on the occasion of his sixtieth birthday

Let [Formula: see text] be a weighted oriented graph and its edge ideal. We provide one method to find all the minimal generators of text], where is maximal strong vertex cover intersections irreducible ideals associated covers contained in text]. If an induced digraph under certain condition on we show that for some implies necessary sufficient equality ordinary symbolic powers ideal union two...

An equigenerated monomial ideal $$I$$ is a Freiman if $$\mu(I^2)=\ell(I)\mu(I)-{\ell(I)\choose 2}$$ , where $$\ell(I)$$ the analytic spread of and $$\mu(I)$$ least number generators . ideals are special since there exists an exact formula computing any their powers. In this paper we give complete classification $$t$$ -spread principal Borel ideals.

goals that guide more concrete goals (Carver & Scheier, 1998; Higgins, 1996, 1997; Powers, 1973). Ideals can therefore serve as accessible alternative goals to approach when focal goals are compromised (Rogers, Kuiper, & Kirker, 1977). Humans can eagerly approach meaningful ideals, at least in part, by simply heightening imagined commitment to them (McGregor & Little, 1998). Private conviction ...

The representations of some Hopf algebras have curious behavior: Nonprojective modules may have projective tensor powers, and the variety of a tensor product of modules may not be contained in the intersection of their varieties. We explain a family of examples of such Hopf algebras and their modules, and classify left, right, and two-sided ideals in their stable module categories.