On rigid rings

DOI10.1016/0022-4049(94)90075-2zbMath0810.13021OpenAlexW2039366557MaRDI QIDQ1336807

Pramod K. Sharma

Publication date: 3 November 1994

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)90075-2

zbMATH Keywords

power series ringsrigid ringspole-assignment of linear systems

Mathematics Subject Classification ID

Seminormal rings (13F45) Rings with straightening laws, Hodge algebras (13F50) Arithmetic rings and other special commutative rings (13F99)

Cites Work

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• Comments on pole assignability over rings
• Some results on pole-placement and reachability
• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• Some cancellation theorems about projective modules over polynomial rings
• BCS rings
• Remarks on the pole-shifting problem over rings
• Stability theorems for overrings of polynomial rings
• Module equivalences: Local to global. When primitive polynomials represent units
• Stability theorems for overrings of polynomial rings. II
• Generating modules efficiently: Theorems from algebraic K-theory
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Polynomial rings which are BCS rings
• Comaximizable Primes
• Introduction to Algebraic K-Theory. (AM-72)

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