Abstract We show that endomorphism rings of cogenerators in the module category a finite-dimensional algebra A admit canonical tilting module, whose tilted B is related to by recollement. Let M be gen-finite -module, meaning there are only finitely many indecomposable modules generated . Using tilts algebras suitable associated , and resulting recollements, we construct desingularisations orbit...

Human motion capture consists of the recording of human body movements for immediate or delayed analysis and playback. Development of the dual video acquisition methods and continued with dual and parallel AVI player display can visually display dual view motion detection and successfully identify the depth of the motion detection. Times and frames are played together in dual AVI player display...

Let T be a torus over an algebraically closed field k of characteristic 0, and consider a projective T -module P(V ). We determine when a projective toric subvariety X ⊂ P(V ) is self-dual, in terms of the configuration of weights of V .

We address the problem of autonomously generating original music in a dual system, comprising a generative and analytic module—a “listener.” The analytic system implements a novel detailed theory of music, involving the recursive application of the concepts of shape, pattern, and motion.

Let T be a torus over an algebraically closed field k of characteristic 0, and consider a projective T -module P(V ). We determine when a projective toric subvariety X ⊂ P(V ) is self-dual, in terms of the configuration of weights of V .

We construct a polynomial invariant, for links in a large class of rational homology 3-spheres, which generalizes the 2-variable Jones polynomial (HOMFLY). As a consequence, we show that the dual of the HOMFLY skein module of a homotopy 3-sphere is isomorpic to that of the genuine 3-sphere .

We give a Decomposition Theorem for a family of Hopf algebras containing the well-know family of Taft Hopf algebras. Therefore, those indecomposable codes over this family of algebras (cf. [4]) is an indecomposable code over the studied case. We use properties of Hopf algebras to show that dual (in the module sense) of an ideal code is again an ideal code.

This paper is dedicated to Vera Pless. It is an elaboration on ideas of Nebe, Rains, and Sloane: by assuming the existence of an anti-isomorphism on a finite ring and by assuming a module alphabet has a well-behaved duality, one is able to study self-dual codes defined over alphabets that are modules over a non-commutative ring. Various examples are discussed.

Spectropolarimetric skin imaging is becoming an attractive technique for early detection of skin cancer. Using two liquid crystal retarders in combination with a dual-band passive spectral filter and two linear polarizers, we demonstrate the spectral and polarimetric imaging of skin tissue in the near infrared. Based on this concept, a compact prototype module has been built and is being used f...