Products of idempotent integer matrices

DOI10.1017/S030500410007050XzbMath0751.20049MaRDI QIDQ3986404

J. B. Fountain

Publication date: 27 June 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

discrete valuation ringmatrix ringproduct of idempotent matrices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Generators, relations, and presentations of groups (20F05) Algebraic systems of matrices (15A30) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (23)

Elementary matrices and products of idempotents ⋮ Products of idempotent endomorphisms of free acts of infinite rank ⋮ Variants of finite full transformation semigroups ⋮ Idempotent factorizations of singular 2 × 2 matrices over quadratic integer rings ⋮ Motzkin monoids and partial Brauer monoids ⋮ Euclidean pairs and quasi-Euclidean rings. ⋮ Factorization under local finiteness conditions ⋮ Idempotents and one-sided units: lattice invariants and a semigroup of functors on the category of monoids ⋮ On graph products of monoids ⋮ Regularity and products of idempotents in endomorphism monoids of projective acts ⋮ Products of elementary matrices and non-Euclidean principal ideal domains ⋮ PRINC domains and comaximal factorization domains ⋮ Independence algebras, basis algebras and the distributivity condition ⋮ Products of elementary and idempotent matrices over integral domains ⋮ A tribute to John B. Fountain ⋮ Products of idempotent matrices over Hermite domains ⋮ Independence algebras, basis algebras and semigroups of quotients ⋮ Quasi-permutation singular matrices are products of idempotents ⋮ Decomposition of singular elements of an algebra into product of idempotents, a survey ⋮ Products of idempotent matrices over integral domains ⋮ Idempotent Generation in the Endomorphism Monoid of a Uniform Partition ⋮ Factorizations into idempotent factors of matrices over Prüfer domains ⋮ Presentations for singular wreath products

Cites Work

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• Products of idempotents in regular rings. II
• On regular semigroups
• Products of idempotent linear transformations
• Abundant Semigroups
• Products of idempotents in the semigroup of singular endomorphisms of a finite-dimensional vector space
• The Subsemigroup Generated By the Idempotents of a Full Transformation Semigroup

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