On the imbedding of a regular ring in a regular ring with identity

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

The Maximal Regular Ideal of a Ring

The ring of k-regular sequences, II

In this paper we continue our study of k regular sequences begun in We prove some new results give many new examples from the literature and state some open problems

The Regular Digraph of Ideals of a Commutative Ring

Let R be a commutative ring and Max (R) be the set of maximal ideals of R. The regular digraph of ideals of R, denoted by −−→ Γreg(R), is a digraph whose vertex set is the set of all non-trivial ideals of R and for every two distinct vertices I and J , there is an arc from I to J whenever I contains a J-regular element. The undirected regular (simple) graph of ideals of R, denoted by Γreg(R), h...

rigid resolution of a finitely generated module over a regular local ring