Morita theory of systems

Abstract

We present the rudiments of the Morita theory of module systems, paralleling the classical Morita theory over associative rings.

Projective systemic modules

“…(v) Classical results about projective modules (their characterization, the Dual Basis Lemma, and Schanuel's Lemma) are a special case of the -version, many of which are not available without the use of . (vi) One can continue in analogy with classical lines, such as Morita theory, which already has been treated in [29] and [41]. This thread is continued in homological algebra [25] and other work in progress.…”