Basic Module Theory for General Rings

Abstract

We show how to construct a theory of modules over general rings (i.e., rings which do not necessarily have an identity element) in such a form that most of the known results of the usual theory of modules over unital rings are obtained by particularizing the results of the general theory.

Key Words:

• Ring without identity
• Unitary module

2000 Mathematics Subject Classification:

• 16D10 (Secondary: 16D90)

ACKNOWLEDGMENT

Both authors acknowledge support from the ‘Fundación Séneca’ of the C.A.R.M.

Notes

Communicated by T. Albu.