Fine rings: A new class of simple rings
From MaRDI portal
Publication:2816948
DOI10.1142/S0219498816501735zbMath1397.16036MaRDI QIDQ2816948
Grigore Călugăreanu, Tsit-Yuen Lam
Publication date: 26 August 2016
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Conditions on elements (16U99) Units, groups of units (associative rings and algebras) (16U60)
Related Items
Rings with fine idempotents ⋮ Generalized fine rings ⋮ A multiplicative dual of nil-clean rings ⋮ On 2-nil-good rings ⋮ Group graded rings with the nil-good property ⋮ On rings whose Jacobson radical coincides with upper nilradical ⋮ Maximally-fine rings ⋮ A taxonomy of Dedekind-finite and reflexive rings ⋮ When Is Every Non Central-Unit A Sum of Two Nilpotents? ⋮ On UQ rings ⋮ Decompositions of endomorphisms into a sum of roots of the unity and nilpotent endomorphisms of fixed nilpotence ⋮ Decompositions of matrices into a sum of invertible matrices and matrices of fixed nilpotence ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Rings with fine nilpotents ⋮ Idempotence of finitely generated commutative semifields ⋮ On unit fine rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The fineness properties of Morita contexts
Cites Work
- Unnamed Item
- Unnamed Item
- Exercises in classical ring theory.
- Nil-clean matrix rings
- Rings with unipotent units
- On commutators and nilpotent elements in simple rings
- RATIONAL CLOSURES OF GROUP RINGS OF LEFT-ORDERED GROUPS
- Unit regular elements in corner rings
- RINGS IN WHICH ELEMENTS ARE UNIQUELY THE SUM OF AN IDEMPOTENT AND A UNIT
- On the unit sum number of some rings