Structure theorem for generalized corner rings

Abstract

We apply recent results on the rank of elements of rings to study the structure of generalized corner rings $aRa$, where $R$ is a unital ring and $a$ an element of $R$. We give a complete description of the structure of $aRa$ when $a^2$ has finite rank and provide an example to show that this assumption is necessary and optimal.

17 pages

References in corpus (1)

• Rank of elements of general rings in connection with unit-regularity

Cited by in corpus (1)

• Rank of elements of general rings in connection with unit-regularity