Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: 16E05

Sortuj według:

Ogranicz wyniki do:

Squared cycles in monomial relations algebras

100%

Jue B.

Open Mathematics

2006

tom 4

nr 2

250-259

Let $$\mathbb{K}$$ be an algebraically closed field. Consider a finite dimensional monomial relations algebra $$\Lambda = {{\mathbb{K}\Gamma } \mathord{\left/ {\vphantom {{\mathbb{K}\Gamma } I}} \right. \kern-\nulldelimiterspace} I}$$ of finite global dimension, where Γ is a quiver and I an admissible ideal generated by a set of paths from the path algebra $$\mathbb{K}\Gamma $$ . There are many modules over Λ which may be represented graphically by a tree with respect to a top element, of which the indecomposable projectives are the most natural example. These trees possess branches which correspond to right subpaths of cycles in the quiver. A pattern in the syzygies of a specific factor module of the corresponding indecomposable projective module is found, allowing us to conclude that the square of any cycle must lie in the ideal I.

Ograniczanie wyników

1 Open Mathematics

1 Jue B.

1 2006

Wyniki wyszukiwania

Squared cycles in monomial relations algebras