Results 31 to 40 of about 84 (84)
Some results on the total zero-divisor graph of a commutative ring [PDF]
PurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
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Heitman dimension of distributive lattices and commutative rings
This paper is the English translation of the first 4 sections of the article "Thierry Coquand, Henri Lombardi, and Claude Quitt\'e. Dimension de Heitmann des treillis distributifs et des anneaux commutatifs. Publications Math\'ematiques de l'Universit\'e
Lombardi, Henri +2 more
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On 2-Absorbing Primary Submodules of Modules over Commutative Rings
All rings are commutative with 1 ≠ 0, and all modules are unital. The purpose of this paper is to investigate the concept of 2-absorbing primary submodules generalizing 2-absorbing primary ideals of rings. Let M be an R-module. A proper submodule N of an
Mostafanasab Hojjat +3 more
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On weakly classical 1-absorbing prime submodules
In this paper, we study weakly classical 1-absorbing prime submodules of a nonzero unital module M over a commutative ring R having a nonzero identity. A proper submodule N of M is said to be a weakly classical 1-absorbing prime submodule, if for each m ∈
Yılmaz Zeynep +4 more
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A question about higher order z-ideals in commutative rings
Let D be a principal ideal domain, p an irreducible element of D and m a nonzero positive integer. In this paper we show that the ring D/pmD answers the question asked by Dube and Ighedo in [1] concerning higher order z-ideals.
Benhissi, A, Maatallah, A
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On (3, 1)-absorbing primary ideals in commutative rings
In this paper, we introduce and study the class of (3, 1)-absorbing primary ideals in commutative rings. We establish several characterizations and examine their relationship with classical 1-absorbing primary ideals.
Abouhalaka Alaa, Kim Hwankoo
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ảnh hưởng của các yếu tố (i) điều kiện chế biến chân không (áp suất chân không 500á600 mmHg trong thời gian từ 13á15 phút, nhiệt độ 60ữ62oC); (ii) oxy hóa như acid ascorbic và ascorbyl palmitate (nồng độ 0,05ữ0,15%), (iii) thể tích nước chanh dây bổ sung
Nguyễn Minh Thủy +4 more
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On 2-nil Primary Ideals of Commutative Rings
The present article addresses the concept of 2-nil primary ideals in commutative rings, expanding the comprehension of ideal categories such as 2-nil, 2-absorbing ideals, and quasi-primary ideals. The study explores the characteristics and connections of
Qaralleh Izzat +2 more
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© Hindawi Publishing Corp. NAGATA RINGS AND DIRECTED UNIONS OF ARTINIAN SUBRINGS
We investigate when a Nagata ring R(X) can be written as a directed union of Artinian subrings. For a family of zero-dimensional rings {Rα}α∈A, we show that∏ α∈ARα(Xα) is not a directed sum of Artinian subrings.
D. Karim
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On additive groups of associative and commutative rings
The characterization of (A)CR-groups studied by Shalom Feigelstock [`Additive groups of commutative rings', Quaest. Math. 23 (2000), 241-245] is complemented.
Woronowicz, M., Andruszkiewicz, R.R.
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