Rashedi, Fatemeh(Universitat Politècnica de València, 2021-10-01)
[EN] Let R be a commutative ring with identity and M a unitary R-module. The primary-like spectrum SpecL(M) is the collection of all primary-like submodules Q of M, the recent generalization of primary ideals, such that ...
Al-Shorman, Tamem; Bataineh, Malik; Bolat, Melis; Ersoy, Bayram Ali(Universitat Politècnica de València, 2024-10-01)
[EN] In this study, we introduce graded pseudo weakly prime submodules of G-graded R-modules, which are an extension of graded weakly prime ideals over G-graded rings. On the graded spectrum of graded pseudo weakly prime ...
Salam, Saif; Al-Zoubi, Khaldoun(Universitat Politècnica de València, 2022-10-03)
[EN] Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this ...
Vielma, Jorge; Marchan, Luz(Universitat Politècnica de València, 2018-10-04)
[EN] Let R be a conmutative semiring with 0 and 1, and let Spec(R) be the set of all proper prime ideals of R. Spec(R) can be endowed with two topologies, the Zariski topology and the D-topology. Let Max R denote the set ...
Panpho, Phakakorn; Yiarayong, Pairote(Universitat Politècnica de València, 2022-10-03)
[EN] Let R be a commutative ring with identity and M a unitary R-module. The fuzzy classical primary spectrum F cp.spec(M) is the collection of all fuzzy classical primary submodules A of M, the recent generalization of ...
Yousefian Darani, Ahmad; Motmaen, Shahram(Editorial Universitat Politècnica de València, 2013-10-01)
[EN] Let R be a G-graded commutative ring with identity and let M be a graded R-module. A proper graded submodule N of M is called graded classical prime if for every a, b ¿ h(R), m ¿ h(M), whenever abm ¿ N, then either ...