Suppose M is a maximal ideal of a commutative integral domain R and that some power Mn of M is finitely generated. We show that M is finitely generated in each of the following cases: (i) M is of height one, (ii) R is integrally closed and htM = 2, (iii) R = K[X; S̃] is a monoid domain over a field K, where S̃ = S ∪ {0} is a cancellative torsion-free monoid such that ⋂∞ m=1 mS = ∅, and M is the m...

In this paper, we introduce the notions of expansion of ideals in $MV$-algebras, $ (tau,sigma)- $primary, $ (tau,sigma)$-obstinate  and $ (tau,sigma)$-Boolean  in $ MV- $algebras. We investigate the relations of them. For example, we show that every $ (tau,sigma)$-obstinate ideal of an $ MV-$ algebra is $ (tau,sigma)$-primary  and $ (tau,sigma)$-Boolean. In particular, we define an expansion $ ...

Mainly based on data from Old Spanish and Modern Francoprovençal, this paper discusses a hitherto underresearched use of the Romance definite article that cannot straightforwardly be explained by recurring to any standard analyses semantic definiteness, i.e., maximality and/or familiarity. We show such weakly referential definites are with representative object interpretations licensed kind-ori...

Given any infinite structureM with a decidable first-order theory, we give a sufficient condition in terms of the Gaifman graph of M, which ensures that M can be expanded with some non-definable predicate in such a way that the first-order theory of the expansion is still decidable. LACL Technical Report 2007-06

In this article, we look at how the equivalence of tight closure and plus closure (or Frobenius closure) in the homogeneous m-coprimary case implies the same closure equivalence in the non-homogeneous m-coprimary case in standard graded rings. Although our result does not depend upon dimension, the primary application is based on results known in dimension 2 due to the recent work of H. Brenner...

the objective of this research was to develop a laboratory test procedure to predict full-scale primary clarifier performance using chemically enhanced primary treatment (cept). a method was developed that simulated actual primary clarifier performance, with chemical enhancements, based on simulating full-scale surface overflow rate (sor) and flocculation time in the laboratory. the method used...