Add to ORKGA submodule A of a right R-module B is called s-pure if f ⊗R 1S is a monomorphism for every simple left R-module S, where f: A → B is the inclusion homomorphism.We estab-lish some properties of s-pure submodules and use s-purity to characterize commutative rings with every maximal ideal idempotent. 1
A characterization is given of the finitely generated non-singular left i?-modules N such that Extβ ...
Let R be a ring. An R-module X is called c-injective if, for every closed submodule L of every R-mod...
Abstract. It is proved that every commutative ring whose RD-injective mod-ules are Σ-RD-injective is...
Let be a ring. Given two positive integers and , an module is said to be -presented, if there...
This article introduces the concept of S-semiprime submodules which are a generalization of semiprim...
Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-...
In this article, we introduce new classes of submodules called r-submodule and special r-submodule, ...
: In this article, we introduce new classes of submodules called r -submodule and special r -submodu...
In this study, we introduce the concepts of S-prime submodules and S-torsion-free modules, which are...
In this note, we provide a generalization of a well-known result of module theory which states that ...
Let R be a commutative ring with identity. A short exact sequence of R-modules is said to be neat (r...
Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-...
Thesis (Doctoral)--Izmir Institute of Technology, Mathematics, Izmir, 2014Includes bibliographical r...
Let R be a commutative ring with 1 not equal 0 and M be an R-module. Suppose that S subset of R is a...
Let R be a commutative ring and M an R-module. In this article, we introduce the concept of S-2-abso...
A characterization is given of the finitely generated non-singular left i?-modules N such that Extβ ...
Let R be a ring. An R-module X is called c-injective if, for every closed submodule L of every R-mod...
Abstract. It is proved that every commutative ring whose RD-injective mod-ules are Σ-RD-injective is...
Let be a ring. Given two positive integers and , an module is said to be -presented, if there...
This article introduces the concept of S-semiprime submodules which are a generalization of semiprim...
Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-...
In this article, we introduce new classes of submodules called r-submodule and special r-submodule, ...
: In this article, we introduce new classes of submodules called r -submodule and special r -submodu...
In this study, we introduce the concepts of S-prime submodules and S-torsion-free modules, which are...
In this note, we provide a generalization of a well-known result of module theory which states that ...
Let R be a commutative ring with identity. A short exact sequence of R-modules is said to be neat (r...
Let R be a commutative ring with identity 1 and M be a unitary left R-module. A submodule N of an R-...
Thesis (Doctoral)--Izmir Institute of Technology, Mathematics, Izmir, 2014Includes bibliographical r...
Let R be a commutative ring with 1 not equal 0 and M be an R-module. Suppose that S subset of R is a...
Let R be a commutative ring and M an R-module. In this article, we introduce the concept of S-2-abso...
A characterization is given of the finitely generated non-singular left i?-modules N such that Extβ ...
Let R be a ring. An R-module X is called c-injective if, for every closed submodule L of every R-mod...
Abstract. It is proved that every commutative ring whose RD-injective mod-ules are Σ-RD-injective is...
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