Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations

• Autorzy: Justyna Kosakowska
• Języki publikacji: EN

Abstrakty

EN

Assume that K is an arbitrary field. Let (I,⪯) be a poset of finite prinjective type and let KI be the incidence K-algebra of I. A classification of all sincere posets of finite prinjective type with three maximal elements is given in Theorem 2.1. A complete list of such posets consisting of 90 diagrams is presented in Tables 2.2. Moreover, given any sincere poset I of finite prinjective type with three maximal elements, a complete set of pairwise non-isomorphic sincere indecomposable prinjective modules over KI is presented in Tables 8.1. The list consists of 723 modules.

Kategorie tematyczne

• 15A21: Canonical forms, reductions, classification
• 16G50: Cohen-Macaulay modules
• 15A63: Quadratic and bilinear forms, inner products \SeeMainly{}
• 16G30: Representations of orders, lattices, algebras over commutative rings
• 14L30: Group actions on varieties or schemes (quotients)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 2
• Strony: 155-208

Daty

wydano

2002

Twórcy

autor

Justyna Kosakowska

• Faculty of Mathematics and Computer Science, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm93-2-1