INJECTTVE NEAR-RING MODULES OVER Z„ Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 68, Number 1, January 1978 INJECTTVE NEAR-RING …

163 NONZERO INJECTIVE COVERS OF MODULES Richard Belshoff and Jinzhong Xu
Abstract. We show that if R is a ring such that every n Page 1 VOLUME 13, NUMBER 3, FALL …

Let N be a left near ring and let M be a right N-module. We recall [1] that M is called injective
iff every diagram can be embedded into a commutative diagram where A and B are right N …

Introduction THE present paper generalizes some results in the multiplicative theory of
fractional ideals. To be explicit, let R be a one-dimensional local ring and M its maximal …

Let $ R $ be a commutative ring and let $ S $ be an $ R $-algebra. It is well-known that if $ N
$ is an injective $ R $-module, then $\operatorname {Hom} _R (S, N) $ is an injective $ S …

Associated with any near-ring R, and any set S of distributive elements of R, one has a
natural notion of S-distributive R-modules, analogous to that of modules over rings and …

arXiv:2407.16146v1 [math.RA] 23 Jul 2024 Page 1 arXiv:2407.16146v1 [math.RA] 23 Jul 2024
On the existence of relative injective envelopes on ring extensions Xiaolei Zhanga School of …

The concept of a module M being almost N-injective, where N is some module, was
introduced by Baba (1989). For a given module M, the class of modules N, for which M is …

Let R be an associative ring with identity. We show that every direct sum of singular injective
right R-modules is injective iff any one of the following equivalent conditions holds. i) Every …

ON THE RINGS WHOSE INJECTIVE HULLS ARE FLAT 1. Introduction Let R be a
commutative Noetherian ring with nonzero identity and let Page 1 PROCEEDINGS OF THE …