On (m, n)-semiprime submodules
Copyright policy )On (m, n)-semiprime submodules
This paper aims to introduce a new class of submodules, called (m, n)-semiprime submodule, which is a generalization of semiprime submodule. Let M be a unital A-module and m, n ∈ N. Then a proper submodule P of M is said to be an (m, n)-semiprime submodule if whenever amx ∈ P for some a ∈ A, x ∈ M, then anx ∈ P. In addition to giving many characterizations and properties of this kind of submodules, we also use them to characterize von Neumann regular modules.
- Marmara University Turkey
- Istanbul University Turkey
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\((m,n)\)-closed ideal, Science, Q, (m,n)-closed ideal, \((m,n)\)-semiprime submodule, (m, n)-closed ideal, n)-semiprime submodule, (m,n)-semiprime submodule, von neumann regular module, descending chain condition., semiprime submodule, Ideals and multiplicative ideal theory in commutative rings, von Neumann regular module, descending chain condition
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