Pseudo Cohen–Macaulay and pseudo generalized Cohen–Macaulay modules

Generalized pseudo-Riemannian geometry

Generalized tensor analysis in the sense of Colombeau’s construction is employed to introduce a nonlinear distributional pseudo-Riemannian geometry. In particular, after deriving several characterizations of invertibility in the algebra of generalized functions we define the notions of generalized pseudo-Riemannian metric, generalized connection and generalized curvature tensor. We prove a “Fun...

OPTIMAL DESIGN OF DIAGRID MODULES BY PSEUDO RANDOM DIRECTIONAL SEARCH

The present work reveals a problem formulation to minimize material consumption and improve efficiency of diagrids to resist equivalent wind loading. The integrated formulation includes not only sizing of structural members but also variation in geometry and topology of such a system. Particular encoding technique is offered to handle practical variation of diagrid modules. A variant of Pseudo-...

Generalized Lapped Pseudo Biorthogonal Transforms

We investigate a special class of N-channel oversampled linearphase perfect reconstruction filter banks with a smaller decimation factor M than N. We deal with systems in which all analysis and synthesis filters have the same FIR length and share the same center of symmetry. We provide the general lattice factorization of a polyphase matrix of a particular class of these oversampled filter bank...

Unitizing generalized pseudo effect algebras

Extensions, Quotients and Generalized Pseudo-anosov Maps

We describe a circle of ideas relating the dynamics of 2-dimensional homeomorphisms to that of 1-dimensional endomorphisms. This is used to introduce a new class of maps generalizing that of Thurston’s pseudo-Anosov homeomorphisms.