Search Results - "Koc, Suat"
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On ϕ-1-absorbing prime ideals
Published in Beiträge zur Algebra und Geometrie (01-12-2021)“…In this paper, we introduce ϕ -1-absorbing prime ideals in commutative rings. Let R be a commutative ring with a nonzero identity 1 ≠ 0 and ϕ : I ( R ) → I ( R…”
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On weakly 2-prime ideals in commutative rings
Published in Communications in algebra (07-07-2021)“…The purpose of the paper is to introduce and study weakly 2-prime ideals in commutative rings. Let A be a commutative ring with a nonzero identity. A proper…”
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3
On weakly 1-absorbing prime ideals
Published in Ricerche di matematica (01-11-2023)“…This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let A be a commutative ring with a nonzero identity 1 ≠ 0 . A proper ideal…”
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Commutative graded-S-coherent rings
Published in Czechoslovak mathematical journal (01-07-2023)“…Recently, motivated by Anderson, Dumitrescu’s S -finiteness, D. Bennis, M. El Hajoui (2018) introduced the notion of S -coherent rings, which is the S -version…”
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On graded coherent-like properties in trivial ring extensions
Published in Bollettino della Unione matematica italiana (2008) (2022)“…Let A = ⊕ α ∈ G A α be a commutative ring with unity graded by an arbitrary grading commutative monoid G , E be a graded A -module and R = A ∝ E the graded…”
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6
Annihilator Condition on Modules
Published in Iranian journal of science and technology. Transaction A, Science (01-12-2023)“…Let Rbe a commutative ring with 1≠0 and Ma unital R-module. Mis said to satisfy Property (A) if for each finitely generated ideal Jof R contained in ZR(M),…”
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On regular fusible modules
Published in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas (2025)“…In this article, we introduce the notion of regular fusible modules. Let R be a ring with an identity and M an R -module. An element 0 ≠ m ∈ M is said to be…”
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8
On Baer modules
Published in Revista de la Unión Matemática Argentina (1968) (01-06-2022)Get full text
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9
On normal modules
Published in Communications in algebra (03-04-2023)“…Recall that a commutative ring is said to be a normal ring if it is reduced and every two distinct minimal prime ideals are comaximal. A finitely generated…”
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On S-prime submodules
Published in Turkish journal of mathematics (01-01-2019)Get full text
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11
On $S$-comultiplication modules
Published in Turkish journal of mathematics (01-01-2022)Get full text
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12
On wsq-primary ideals
Published in Czechoslovak mathematical journal (01-07-2023)“…We introduce weakly strongly quasi-primary (briefly, wsq-primary) ideals in commutative rings. Let R be a commutative ring with a nonzero identity and Q a…”
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13
On morphic modules over commutative rings
Published in Beiträge zur Algebra und Geometrie (01-03-2024)“…A commutative ring R is said to be a morphic ring if for each a ∈ R there exists b ∈ R such that a n n ( a ) = R b and a n n ( b ) = R a . In this paper, we…”
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14
On S-Zariski topology
Published in Communications in algebra (04-03-2021)“…Let R be a commutative ring with nonzero identity and, be a multiplicatively closed subset. An ideal P of R with is called an S-prime ideal if there exists an…”
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15
S-principal ideal multiplication modules
Published in Communications in algebra (03-06-2023)“…In this paper, we study S-Principal ideal multiplication modules. Let be a commutative ring with a multiplicatively closed set and an A-module. A submodule N…”
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On S-2-absorbing submodules and vn-regular modules
Published in Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică (01-07-2020)“…Let be a commutative ring and an -module. In this article, we introduce the concept of -2-absorbing submodule. Suppose that ⊆ is a multiplicatively closed…”
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17
On Modules Satisfying S-Noetherian Spectrum Condition
Published in Communications in mathematics and statistics (01-09-2023)“…Let R be a commutative ring having nonzero identity and M be a unital R -module. Assume that S ⊆ R is a multiplicatively closed subset of R . Then, M satisfies…”
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18
On S-multiplication modules
Published in Communications in algebra (02-08-2020)“…In this article, we introduce S-multiplication modules which are a generalization of multiplication modules. Let M be an R-module and a multiplicatively closed…”
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On modules satisfying S-dccr condition
Published in Beiträge zur Algebra und Geometrie (01-12-2022)“…In this paper, we introduce a new class of modules satisfying S -dccr ( S -dccr ⋆ ) condition which is a generalization of S -artinian modules. Let A be a…”
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r -Submodules and sr-Submodules
Published in Turkish journal of mathematics (01-01-2018)Get full text
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