Luis Pedro Montejano, Luis Núñez-Betancourt. Source: Journal of Commutative Algebra, Volume 12, Number 4, 539--557.Abstract: The [math] -vector [math] of a graph [math] is defined in terms of its clique vector [math] by the equation [math] where [math] is the largest cardinality of a clique in...

Dario Spirito. Source: Journal of Commutative Algebra, Volume 12, Number 4, 581--602.Abstract: We study the sets of semistar and star operations on a semilocal Prüfer domain, with an emphasis on which properties of the domain are enough to determine them. In particular, we show that these sets...

David E Speyer. Source: Journal of Commutative Algebra, Volume 12, Number 4, 573--579.Abstract: Let [math] and [math] be schemes of finite type over [math] and let [math] be a finite map. We show the following holds for all sufficiently large primes [math] : If [math] and [math] are any splittings...

Susanne Müller. Source: Journal of Commutative Algebra, Volume 12, Number 4, 559--572.Abstract: The aim of this paper is to give a connection between the [math] -pure threshold of a polynomial and the height of the corresponding Artin–Mazur formal group. For this, we consider a quasihomogeneous...

Evan Houston, Muhammad Zafrullah. Source: Journal of Commutative Algebra, Volume 12, Number 4, 489--507.Abstract: For a finite-type star operation [math] on a domain [math] , we say that [math] is [math] -super potent if each maximal [math] -ideal of [math] contains a finitely generated ideal...

Giuseppe Favacchio. Source: Journal of Commutative Algebra, Volume 12, Number 4, 479--487.Abstract: We classify the Hilbert functions of bigraded algebras in [math] by introducing a numerical function called a Ferrers function. ...

Petter A. Bergh, David A. Jorgensen, W. Frank Moore. Source: Journal of Commutative Algebra, Volume 12, Number 4, 467--477.Abstract: Let [math] be a commutative local Noetherian ring, [math] a [math] -regular sequence in [math] , and [math] . Given a complex of finitely generated free [math]...

Fariborz Azarpanah, Mehdi Parsinia. Source: Journal of Commutative Algebra, Volume 12, Number 4, 459--466.Abstract: Let [math] be a Tychonoff space and [math] be an intermediate subalgebra of [math] , i.e., [math] . We show that such subrings are precisely absolutely convex subalgebras of [math] ....

Antonio Macchia, Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal. Source: Journal of Commutative Algebra, Volume 12, Number 3, 391--407.Abstract: Let [math] be a graph obtained by taking [math] paths and identifying all first vertices and identifying all last vertices. We compute the...

Mitra Koley. Source: Journal of Commutative Algebra, Volume 12, Number 3, 371--389.Abstract: Let [math] or [math] , where [math] is a field of arbitrary characteristic and [math] are indeterminates. In this paper we will show that there is an order preserving embedding from the poset of Hilbert...