The Generalized Principal Ideal Theorem is one of the cornerstones of dimension theory for Noetherian rings. For an R-module M, we identify certain submodules of M that play a role analogous to that of prime ideals in the ring R. Using this definition, we extend the Generalized Principal Ideal Theorem to modules.

‎let ${x_{alpha}:alphainlambda}$ be a collection of topological spaces‎, ‎and $mathcal {g}_{alpha}$ be a grill on $x_{alpha}$ for each $alphainlambda$‎. ‎we consider tychonoffrq{}s type theorem for $x=prod_{alphainlambda}x_{alpha}$ via the above grills and a natural grill on $x$ ‎related to these grills, and present a simple proof to this theorem‎. ‎this immediately yields the classical theorem...

135 Despite the importance of this issue, not much systematic research appears to have been devoted to assessing the relative susceptibility of national and local governments to interestgroup capture. Here we describe a model of two-party electoral competition with “probabilistic” voting behavior and lobbying by specialinterest groups based on David Baron (1994) and Gene Grossman and Elhanan He...

Rupa Duttagupta Arvind Panagariya January 2, 2001 Abstract We incorporate intermediate inputs into a small-union general-equilibrium model and develop the welfare economics of preferential trading under the rules of origin. Combining this analysis with the Grossman-Helpman political-economy model, we demonstrate that the rules of origin can improve the political viability of FTAs. Two interesti...

Recent analyses of transaction-level datasets have generated new stylized facts on price setting and greatly in‡uenced the empirical macroeconomics literature. This work has uncovered marked heterogeneity in price stickiness, demonstrated that even nonzero price changes do not fully "pass through" cost shocks, and o¤ered evidence of synchronization in the timing of price changes. Further, intra...

Why do countries participate in currency unions or unilaterally adopt a foreign currency? I investigate the roles of geography, synchronization of economic shocks, cultural similarity, size, political integration and colonial heritage as determinants of monetary unions. The results motivate a selection model for common currency areas, which I then use to revisit the impact of currency-union mem...