Flatness testing and torsionfree morphisms

On torsion torsionfree triples

Acknowledgements I would like to express my gratitude to my advisor, Manuel Saorín Castaño, whose presence and help have been decisive to carry out this work. I am grateful to K. Fuller for pointing out some references used in Example 2.6.2, to K. Goodearl for telling us about key results in [37, 100] used in Chapter 3, and to J. Trlifaj for suggesting Lemma 6.3.14 and Example 6.3.15. Also, I a...

Field Testing of Flatness-Based Feedforward Control on the CART2

Nacelle-based lidar systems are offering a good opportunity for new wind turbine control strategies, since inflowing wind information can be used in the controller. The benefits of lidar-assisted collective pitch feedforward control have been presented over the last years and was successfully demonstrated in several field testings, latest results see [1, 2]. This controller yields an improved r...

Testing Equivalence of Morphisms on Context-Free Languages

EXTENSION CLOSURE OF RELATIVE k-TORSIONFREE MODULES

Let be a ring. We use mod (resp. mod ) to denote the category of finitely generated left -modules (resp. right -modules). We always assume that and are Artinian algebras and is a faithfully balanced self-orthogonal bimodule, that is, satisfies the following conditions: (1) is in mod and is in mod ; (2) the natural maps → End op and → End are isomorphisms; (3) Ext = 0 and Ext = 0 for any i ≥ 1. ...

Situating Flatness

Our paper, ‘Human Geography without Scale’ (Marston et al. 2005), is developed in two parts: a critique that is immanent to scale, where we show that, even on the grounds of contemporary spatial theory, the concept is deficient; and a critique that is extrinsic to those grounds, where we make a contribution to an alternative ontology that does not rely on the transcendental abstraction of scale...