A survey of s-unital and locally unital rings

2018/09/06 by Nystedt, Patrik · 2 citations
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1809.02117

Abstract

We gather some classical results and examples that show strict inclusion between the families of unital rings, rings with enough idempotents, rings with sets of local units, locally unital rings, s-unital rings and idempotent rings.

Cited by

• Nonunital prime rings graded by ordered groups
• Multiplier algebras and local units

Related

• Non-unital Ore extensions
• Pairs of rings sharing their units
• Invertible unital bimodules over rings with local units, and related exact sequences of groups
• Rings Such That u-1 Lies In J^#(R) For Each Unit u
• Rings in which every unit is a sum of a nilpotent and an idempotent