Khumprapussorn, Thawatchai
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Preferred name
Khumprapussorn, Thawatchai
Main Affiliation
Email
thawatchai.kh@kmitl.ac.th
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Item type:Publication, ON β-ABSORBING PRIMARY SUBMODULES(2024-01-01)In this paper, we define the notion of β-absorbing primary submodules. We can see that β-absorbing primary submodules are a generalization of βabsorbing submodules and 2-absorbing submodules. Several properties concerning β-absorbing primary submodules and examples are given. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, On β-Absorbing Submodules(2020-01-01)We introduce the concept of β-absorbing submodules of unital left R-module over a commutative ring with nonzero identity. Many properties and characterizations of β-absorbing submodules and weakly β-absorbing submodules are given. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, On α-Absorbing Submodules(2020-01-01)Let R be a commutative ring with identity. For an R-module M, the notion of α-absorbing submodules and weakly α-absorbing submodules are defined. We study some basic properties of α-absorbing submodules and weakly α-absorbing submodules. Also, we give some characterizations of them. - Some of the metrics are blocked by yourconsent settings
Item type:Publication, On ϕ-β-Absorbing Submodules(2022-01-01)In this paper, we extend the concept of β-absorbing submodules to ϕ-β-absorbing submodules over a commutative ring with nonzero identity which is a generalization of 2-absorbing submodules. Let S(M) be the set of all submodules of M and ϕ : S(M) → S(M)∪{∅} be a function. A proper submodule P of M is called a ϕ-β-absorbing submodule, if for each r, s ∈ R and m ∈ M with rsm ∈ P\ϕ(P), then rs + rs ∈ (P : M) or r(m + m) ∈ P or s(m + m) ∈ P. Some of the properties and characterizations of ϕ-β-absorbing submodules are investigated.