2017/07/17 by Zehra Bı̇lgı̇n, Bilgin, Zehra, Kürşat Hakan Oral +1
Mathematics · #13A15 #13C13 #13C99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1707.05382
openalex publication_date 2017/07/17 · openalex created_date 2017/07/31 · openalex updated_date 2026/07/28
Let R be a commutative ring with identity. A prime submodule P of an R-module M is called coprimely structured if, whenever P is coprime to each element of an arbitrary family of submodules of M, the intersection of the family is not contained in P. An R-module M is called coprimely structured provided each prime submodule of M is coprimely structured. In this paper, properties of coprimely structured modules are examined. Severals results for coprimely structured finitely generated modules and coprimely structured multiplication modules are obtained.