# A survey of s-unital and locally unital rings

@article{Nystedt2018ASO,
title={A survey of s-unital and locally unital rings},
author={Patrik Nystedt},
journal={arXiv: Rings and Algebras},
year={2018}
}
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.
9 Citations
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Let $G$ be a group and let $S=\bigoplus_{g \in G} S_g$ be a $G$-graded ring. Given a normal subgroup $N$ of $G$, there is a naturally induced $G/N$-grading of $S$. It is well-known that if $S$ isExpand
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Abstract We extend the classical construction by Noether of crossed product algebras, defined by finite Galois field extensions, to cover the case of separable (but not necessarily finite or normal)Expand

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