Group gradings on finite-dimensional incidence algebras. II
Helen Samara Dos Santos, Felipe Yukihide Yasumura
TL;DR
This paper fully classifies group gradings on finite-dimensional incidence algebras and identifies which graded algebras can be realized as such incidence algebras.
Contribution
It completes the classification of group gradings on finite-dimensional incidence algebras and characterizes realizable graded algebras.
Findings
Complete classification of group gradings on incidence algebras
Identification of graded algebras realizable as incidence algebras
Extension of previous partial results
Abstract
We complete the description of group gradings on finite-dimensional incidence algebras. Moreover, we classify the finite-dimensional graded algebras that can be realized as incidence algebras endowed with a group grading.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Algebraic structures and combinatorial models