논문KCI 등재
On primary decompositions and radicals of submodules
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In this paper, we give some characterizations for prime and primary submodules of a finitely generated free modules over PID's and determine the height of prime submodules. We also char- acterize the minimal primary decompositions and radicals of submodules of any finitely generated free module over a PID.
Abstract
In this paper, we give some characterizations for prime and primary submodules of a nitely generated free modules over PIDs and determine the height of prime submodules. We also char- acterize the minimal primary decompositions and radicals of submodules of any nitely generated free module over a PID.
관련 논문AI추천
On prime submodules of a finitely generated projective module over a commutative ringReza Nekooei, Zahra Pourshafiey대한수학회 · 대한수학회논문집2019 · 제34권 제3호PRIMARY DECOMPOSITION OF SUBMODULES OF A FREE MODULE OF FINITE RANK OVER A BÉZOUT DOMAINFatemeh Mirzaei, Reza Nekooei대한수학회 · 대한수학회보2023 · 제60권 제2호CHARACTERIZATION OF PRIME SUBMODULES OF A FREE MODULE OF FINITE RANK OVER A VALUATION DOMAINFatemeh Mirzaei, Reza Nekooei대한수학회 · 대한수학회지2017 · 제54권 제1호Decompositions of graded maximal submodulesFida Moh’D대한수학회 · 대한수학회논문집2022 · 제37권 제1호Prime M-ideals, M-prime submodules, M-prime radical and M-Baer's lower nilradical of modulesFayezeh Yazdi, John Beachy, Mahmood Behboodi대한수학회 · 대한수학회지2013 · 제50권 제6호Prime bases of weakly prime submodules and the weak radical of submodulesAbdulrasool Azizi, Ashkan Nikseresht대한수학회 · 대한수학회지2013 · 제50권 제6호
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