Regular ring properties degraded through inverse limits
Year: 2024
Type: article
Abstract: We give a number of constructions where inverse limits seriously degrade properties of regular rings, such as unit-regularity, diagonalisation of matrices, and finite stable rank. This raises the possibility of using inverse limits to answer the long standing Separativity Problem (in the negative).
Source: Journal of Algebra
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,140
Awards: G1092424111, G1175115578, G1826204064, G2064873908, G2262748287, G2462415295, G3005324705, G300979063, G3288897321, G3480869486, G3546882995, G410571670, G425668148, G451917667, G5080475149, G5539308778, G5967599077, G6307970414, G6325762137, G7084143925, G7087221593, G763978806, Research in Ring Theory and Noncommutative Algebraic Geometry, G800534086, G8130184278, G84477964
OpenAlex ID: W4404517894