Pierce sheaves of non-commutative rings

DOI10.1080/00927877608822094zbMath0318.16005OpenAlexW2070944369MaRDI QIDQ4079761

W. D. Burgess, W. Stephenson

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1080/00927877608822094

Mathematics Subject Classification ID

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Representation theory of associative rings and algebras (16Gxx) Rings with polynomial identity (16Rxx)

Related Items (22)

Unnamed Item ⋮ On regular rings of bounded index ⋮ Unnamed Item ⋮ Rings without infinite sets of noncentral orthogonal idempotents. ⋮ Rings and sheaves ⋮ Ideal extensions of rings-some topological aspect ⋮ Isomorphic ore extensions ⋮ Unnamed Item ⋮ Lambek functional representation of generalized symmetric semirings ⋮ Functional representations of semirings. ⋮ The N*-metric completion of regular rings ⋮ On strongly πregular rings and homomorphisms into them ⋮ Hereditary and semihereditary rings without nilpotent elements ⋮ Unnamed Item ⋮ Modules with local Pierce stalks ⋮ Associative rings ⋮ On nonsingular right fpf rings ⋮ An analogue of the pierce sheaf for non-commutative rings ⋮ Boolean products of lattices ⋮ Homogeneous direct summands of regular rings of finite index ⋮ Strongly clean triangular matrices over abelian rings. ⋮ Representations of regular rings o f finite index-II

Cites Work

• Unnamed Item
• Prime ideals in regular self-injective rings. II
• Two classes of rings generated by their units
• Some remarks on the invariant basis property
• The representation of biregular rings by sheaves
• On rings whose simple modules are injective
• Modules over commutative regular rings
• Hereditary Commutative Rings and Centres of Hereditary Rings

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