The isomorphism problem for incidence rings

DOI10.2140/pjm.1999.187.201zbMath0936.16003OpenAlexW2100464946MaRDI QIDQ5906423

Ángel Del Río, Gene D. Abrams, Jeremy Haefner

Publication date: 11 May 2000

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1999.187.201

zbMATH Keywords

finite dimensional algebrasdirect summandsisomorphism problemfinite partially ordered setsincidence algebradirect decompositionsincidence ringslocally finite preordered setsnumbers of right idealsnumbers of summands

Mathematics Subject Classification ID

Partial orders, general (06A06) Associative rings of functions, subdirect products, sheaves of rings (16S60) Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Automorphisms and endomorphisms of algebraic structures (08A35)

Related Items (7)

The Lower Nilradical of an Incidence Ring and Applications to the Recovery Question ⋮ On incidence algebras and their representations ⋮ Isomorphisms of groups of invertible elements of incidence algebras ⋮ Automorphism groups of generalized triangular matrix rings. ⋮ Semiring isomorphisms and automorphisms of matrix algebras ⋮ Subrings which are closed with respect to taking the inverse. ⋮ On ideals of triangular matrix rings.

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