F-CS-Rickart Modules
Abstrak
Let M be a module over a ring with identity and F be a fully invariant submodule of M. A module M is an F -CS-Rickart module if ⁻¹(F) is an essential submodule of a direct Summand of M for any ∈ End (M). In addition, M is an F - dual – CS – Rickart module if (F) lies above in a direct summand of M for any ∈ End (M). In this dissertation, some properties and characterizations of F – CS–Rickart modules and F –dual-CS– Rickart modules are investigated. Moreover, we prove that any F –dual-CS– Rickart modules and F -dual-CS-Rickart modules can be written as a direct sum of two submodules such that one of them relates to F and the other one is a CS-Rickart module (dual-CS-Ruckart module). Furthermore. we study F-CS– Rickart modules when they are projective modules. In particular, we explore Z (M)-CS-Rickart modules, Z₂ (M)-CS-Rickart modules and Z* (M)-CS-Rickart modules.
Penulis (1)
Julalak Kaewwangsakoon
Akses Cepat
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- DOI
- 10.58837/chula.the.2017.325
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