WebJan 27, 2024 · Using the resolution quiver for a connected Nakayama algebra, a fast algorithm is given to decide whether its global dimension is finite or not and whether it is … WebJun 15, 2024 · The proof provides an explicit formula for the finitistic dimension of a Nakayama algebra A, namelyfinproA=maxS⁡min⁡{pdS,pdIS},where Sruns through the simple …

Dimension theory (algebra) - Wikipedia

WebMar 20, 2024 · Let Λ be an Artin algebra with a unique non-injective indecomposable projective module. In this situation, Marczinzik conjectured that the dominant dimension of Λ agrees with its finitistic dimension. In this paper, we give a proof of a stronger statement. WebA M.LetP ∈ modA be projective and B =End A P such that the projective dimension of P as a right B-module is at most n(< ∞). If A is an m-syzygy-finite algebra (resp. an m-Igusa–Todorov alge-bra), then B is an (m+n)-syzygy-finite algebra (resp. an (m+n)-Igusa–Todorov algebra); in particular, the finitistic dimension of B is finite in ... longs chapel waynesville nc

A new characterization of quasi-hereditary Nakayama …

WebDimension theory (algebra) In mathematics, dimension theory is the study in terms of commutative algebra of the notion dimension of an algebraic variety (and by extension that of a scheme ). The need of a theory for such an apparently simple notion results from the existence of many definitions of dimension that are equivalent only in the most ... WebOptimal upper bounds are provided for the dominant dimensions of Nakayama algebras and more generally algebras A with an idempotent e such that there is a minimal faithful injective-projective module eA and such that eAe is a Nakayama algebra. This answers a question of Abrar and proves a WebSep 18, 2024 · The finitistic dimension of a Nakayama algebra Article Feb 2024 Claus Michael Ringel View Show abstract The φ -dimension of cyclic Nakayama algebras Article Feb 2024 Emre Sen View Show... hope industries elo touchscreen