Recently KR Goodearl and D. Handelman [6] have studied simple regular rings from the
point of view of dimension-like functions. They have shown that there exists a unique …

ABSTRACT A module M Is said to be weakly projective If and only If It has a projective cover
11": P (M)--+ M and every map from P (M) Into a finitely generated (free) module can be …

The purpose of this paper is to initiate the study of improjective modules. A module X is im-
projective if given any epimorphism/: B-> A and any homomorphism/: X-> A, there exists a …

A ring $ R $ is regular [completely reducible] if and only if the character module of every left
$ R $-module is quasi-injective [quasiprojective]. Submodules of quasiprojective left $ R …

When every projective module is a direct sum of finitely generated modules Page 1 Journal
of Algebra 315 (2007) 454–481 www.elsevier.com/locate/jalgebra When every projective …

A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …

When every finitely generated flat module is projective Page 1 Journal of Algebra 277 (2004)
542–558 www.elsevier.com/locate/jalgebra When every finitely generated flat module is …

1. Introduction, In this paper we prove several theorems about rings having a generous
supply of projective injective modules. This is a curious class of rings. For instance, every …

We prove that, for every regular ring R, there exists an isomorphism between the monoids of
isomorphism classes of finitely generated projective right modules over the rings EndR (R …

We prove here, among other results, that if R is a commutative noetherian ring and
projective R [x 1,…, xn]-modules of rank⩽ Krull dim R are extended, then finitely generated …