Titlebook: Lectures on Algebraic Quantum Groups; Ken A. Brown,Ken R. Goodearl Textbook 2002 Springer Basel AG 2002 algebra.algebraic group.quantum gr

LAPSE

Debark

circumvent

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WAX

PALMY

Coronation

Generic Quantized Coordinate Rings of Semisimple Groups,ingle-parameter quantized coordinate rings ... with . not a root of unity; the root of unity case will be discussed in Chapter III.7. As with quantized enveloping algebras, . is just a suggestive label, and quantized coordinate rings for . can be defined over (almost) arbitrary fields. Since ... is

nerve-sparing

有助于

Homological Conditions, the supremum of the projective dimensions of the right R-modules. The.is defined analogously. Recall that the right and left global dimensions of a noetherian ring coincide.,Corollary 9.23]. Hence, we just write gl.dim(R) for this dimension. It is also known that if inj.dim(RR) and inj.dim(RR) are

invert

Links and Blocks,decompose A as a finite direct sum of indecomposable (and necessarily Artinian) rings. Equivalently, where the ei are.(Central idempotents are.if their product is zero; a central idempotent is.if it is non-zero and it cannot be written as the sum of two orthogonal non-zero central idempotents.) It’s