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The Picard group of a structural matrix algebra

โœ Scribed by Jeremy Haefner; Trae Holcomb

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
256 KB
Volume
304
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

We investigate the Picard group of a structural matrix (or incidence) algebra A of a finite preordered set P over a field and we consider five interrelated problems. Our main technique involves establishing a connection between the group of outer automorphisms Out(A) of A and the group of outer automorphisms of the basic algebra รƒ which is an incidence algebra of the associated partially ordered set P of P. We discuss necessary and sufficient conditions for Out(A) to be a natural invariant for the Morita equivalence class of A, and necessary and sufficient conditions for M n (K) to be strongly graded by a group G and coefficient ring A containing n primitive, orthogonal idempotents.

๐Ÿ“œ SIMILAR VOLUMES

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## Abstract In this paper a system of coordinates for the effective divisors on the Jacobian Variety of a Picard curve is presented. These coordinates possess a nice geometric interpretation and provide us with an unifying environment to obtain an explicit structure of algebraic variety on the Jaco