"This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group. It explains a theory that is more complicated than the study of the classical non-modular case, and it describes many open questions. La…
by Sturmfels, Bernd, Hilbert, David
fromCambridge mathematical library
This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum o…
Groups. Small cancellations. Greendlinger theorem -- Braid theory -- Curves on surfaces. Knots and virtual knots -- Two-dimensional knots and links -- Parity in knot theories. The parity bracket -- Cobordisms -- General theory of invariants of dynamical systems -- Groups Gk/n an…
"This book contains an in-depth overview of the current state of the recently emerged and rapidly growing theory of Gk/n groups, picture-valued invariants, and braids for arbitrary manifolds. Equivalence relations arising in low-dimensional topology and combinatorial group theor…
"The semantic tradition makes languages and their interpretations the objects of formal study. It has flourished through the development of model theory, initially used by Tarski for the formal explication of the notions of truth and logical consequence. Since the midst of the t…
This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applic…
