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Rings over which every module has a flat $δ$-cover
-covers -perfect rings -semiperfect rings Flat modules
2011/8/25
Abstract: Let $M$ be a module. A {\em $\delta$-cover} of $M$ is an epimorphism from a module $F$ onto $M$ with a $\delta$-small kernel. A $\delta$-cover is said to be a {\em flat $\delta$-cover} in ca...
A subset S of vertices of a graph G is called a k-path vertex cover if every path of order k in G contains at least one vertex from S. Denote by k(G)the minimum cardinality of a k-path vertex cover i...
Splice Diagram Singularities and The Universal Abelian Cover of Graph Orbifolds
Splice Diagram Singularities The Universal Abelian Cover of Graph Orbifolds
2010/11/9
Given a rational homology sphere M, whose splice diagram satisfy the semigroup condition, Neumann and Wahl were able to define a complete intersection surface singularity called splice diagram singul...
Cover for Modules and Injective Modules
Commutative ring D-prime module cover prime submodule injective module quasi-injective and injective hull
2010/2/25
Let R be a commutative ring with identity and M be an R-module with Spec(M) \neq f. A cover of the R-submodule K of M is a subset C of Spec(M) satisfying that for any x \in K, x \neq 0, there is N \in...