![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
In this paper we develop a Morita theory for associative rings without identity using the categories CMod-R of modules M such that M ≃ Hom(R,M) and DMod-R of modules M such that M ⊗ R ≃ M. This extends the main results of Morita theory to a wide class of rings, that properly includes the idempotent rings.
ACKNOWLEDGMENT
With support from the DGES (PB96-0961-C02) and from the CARM (PB16/FS97). The second author also supported by CajaMurcia.