Realizing tiled orders

DOI10.1006/jabr.1994.1052zbMath0814.16013OpenAlexW2000649071MaRDI QIDQ1322516

R. S. Pierce, C. I. Vinsonhaler

Publication date: 30 November 1994

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1052

zbMATH Keywords

realizabilitydecomposition matricesimbedding\(p\)-adic fielddirect sum\(p\)-grouptiled orders\(Z_ p\)-orderscentral division \(Q\)-algebraincidence tiled ordersrepresentations of finite partially ordered setstiled realizing orders

Mathematics Subject Classification ID

Partial orders, general (06A06) Endomorphism rings; matrix rings (16S50) Representations of orders, lattices, algebras over commutative rings (16G30) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Torsion groups, primary groups and generalized primary groups (20K10)

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The max-plus algebra of exponent matrices of tiled orders, Realizable posets