Local Orders whose Lattices are Direct Sums of Ideals

DOI10.2307/2001582zbMath0716.16010OpenAlexW4246589218MaRDI QIDQ3203171

Jeremy Haefner

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001582

zbMATH Keywords

local orders\(\Lambda \) -representationdirect sum of \(\Lambda \) - idealsquasi-Bass orderssigma-I orders

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (4)

Irreducible maps of commutative rings ⋮ On Gorenstein orders ⋮ Computing abelian varieties over finite fields isogenous to a power ⋮ On local orders

Cites Work

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• On the two generator problem for the ideals of a one-dimensional ring
• Commutative orders whose lattices are direct sums of ideals
• Integral representations of groups of square-free order
• On the ubiquity of Gorenstein rings
• UNBOUNDED DIMENSIONALITY OF INDECOMPOSABLE REPRESENTATIONS OF AN ALGEBRA WITH AN INFINITE NUMBER OF INDECOMPOSABLE REPRESENTATIONS

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