Elementary and Good Group Gradings of Incidence Algebras over Partially-Ordered Sets with Cross-Cuts

DOI10.1080/00927870600550277zbMath1110.16048OpenAlexW2020798334MaRDI QIDQ5489284

Molli R. Jones

Publication date: 25 September 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870600550277

zbMATH Keywords

incidence algebraselementary gradingsgroup gradingsgood gradings

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Combinatorics of partially ordered sets (06A07) Graded rings and modules (associative rings and algebras) (16W50)

Related Items

Gradings on incidence algebras and their graded polynomial identities ⋮ Group Gradings in Incidence Algebras ⋮ Induced good gradings of structural matrix rings ⋮ A cohomological point of view on gradings on algebras with multiplicative basis ⋮ Good Gradings of Generalized Incidence Rings ⋮ Group gradings on finite dimensional incidence algebras

Cites Work

• Group-graded rings and modules
• Group gradings and recovery results for generalized incidence rings
• Abelian gradings on upper-triangular matrices
• The graded identities of upper triangular matrices of size two
• Group gradings on full matrix rings
• GRADINGS OF MATRIX ALGEBRAS BY CYCLIC GROUPS
• SEMIGROUP GRADINGS OF FULL MATRIX RINGS
• ON GRADINGS OF MATRIX ALGEBRAS AND DESCENT THEORY
• Group Gradings on Matrix Algebras