Structure of Incidence Algebras of graphs

DOI10.1080/00927878108822661zbMath0467.05059OpenAlexW1976726749MaRDI QIDQ3919755

John Sarreille, Pierre Leroux

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1080/00927878108822661

zbMATH Keywords

Jacobson radicalnilradicalprimepolynomial identityincidence algebraquasi-ordersemi-primeoriented multigraph

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Graph theory (05C99) Noetherian rings and modules (associative rings and algebras) (16P40) Rings with polynomial identity (16Rxx) Radicals and radical properties of associative rings (16Nxx)

Related Items (12)

The Lower Nilradical of an Incidence Ring and Applications to the Recovery Question ⋮ The general radical theory of incidence algebras ⋮ The mathematical life of Pierre Leroux ⋮ GROUP IDENTITIES IN INCIDENCE RINGS ⋮ Radicals of incidence algebras ⋮ Modular posets and semigroups ⋮ Identities and derived lengths of finitary incidence algebras and their group of units ⋮ Chain algebras ⋮ PI INCIDENCE ALGEBRAS AND CAPELLI POLYNOMIALS ⋮ Associative rings ⋮ A note on PI incidence algebras ⋮ Generalized Munn rings

Cites Work

• Radicals and primes in incidence algebras
• Existence of identities in \(A \otimes B\)
• Unnamed Item

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