Ceken, Secil2024-06-122024-06-1220191607-36061727-933Xhttps://doi.org/10.2989/16073606.2018.1457097https://hdl.handle.net/20.500.14551/21904In this paper, we investigate interior operations on submodules and introduce a new interior operation by using a certain submodule class. Let R be a commutative ring with identity and be a set of ideals of R. We define -second submodules and -interior of a submodule. We show that second, secondary and strongly second submodules are special types of -second submodules. We investigate several properties of -interiors of submodules and give a concrete expression of - interior of a submodule of an Artinian module. We use the concept of -interior of a submodule to find some results on -second submodules and attached primes of an Artinian module.en10.2989/16073606.2018.1457097info:eu-repo/semantics/closedAccessI-Second SubmoduleInterior OperationI-Interior Of A SubmoduleAttached Prime IdealDual Notion2ndModulesArticle424431446Q2WOS:0004663875000012-s2.0-85047185862Q2