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Communications in Algebra Volume 33, 2005 - Issue 1
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Original Articles

UNIQUE FACTORIZATION AND BIRTH OF ALMOST PRIMES

Srikant M. Bhatwadekar School of Mathematics, TIFR, Colaba, Mumbai, India
&
Pramod K. Sharma School of Mathematics, Vigyan Bhawan, Indore, IndiaCorrespondence[email protected]
Pages 43-49 | Received 01 May 2003, Published online: 28 Apr 2009

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Emel Aslankarayigit Ugurlu. (2021) Generalizations of r-ideals of commutative rings. Journal of Interdisciplinary Mathematics 24:8, pages 2283-2293.
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Suat Koç. (2021) On weakly 2-prime ideals in commutative rings. Communications in Algebra 49:8, pages 3387-3397.
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Reza Nikandish & Zeinab Rousamnejad. (2020) On two conjectures concerning -weakly prime ideals in commutative rings. Communications in Algebra 48:12, pages 5195-5202.
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Rachida El Khalfaoui & Najib Mahdou. (2020) The ϕ-Krull dimension of some commutative extensions. Communications in Algebra 48:9, pages 3800-3810.
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Sina Hedayat & Esmaeil Rostami. (2017) Decomposition of ideals into pseudo-irreducible ideals. Communications in Algebra 45:4, pages 1711-1718.
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Fethi Çallıalp, C. Jayaram & Ünsal Tekir. (2012) Weakly Prime Elements in Multiplicative Lattices. Communications in Algebra 40:8, pages 2825-2840.
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M. Ebrahimpour & R. Nekooei. (2012) On Generalizations of Prime Ideals. Communications in Algebra 40:4, pages 1268-1279.
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D. D. Anderson & Malik Bataineh. (2008) Generalizations of Prime Ideals. Communications in Algebra 36:2, pages 686-696.
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Alaa Abouhalaka & Şehmus Fındık. (2023) Extension of Almost Primary Ideals to Noncommutative Rings and the Generalization of Nilary Ideals. Mathematics 11:8, pages 1917.
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Ahmad Yousefian Darani, Najib Mahdou & Sanae Moussaoui. (2021) Strongly ϕ-n-irreducible ideals. Journal of Algebra and Its Applications 21:12.
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Esmaeil Rostami. (2021) On S-pseudo-irreducible ideals. Journal of Algebra and Its Applications 21:07.
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Esmaeil Rostami, Sina Hedayat, Reza Nekooei & Somayeh Karimzadeh. (2020) Comaximal factorization of lifting ideals. Journal of Algebra and Its Applications 21:03.
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Emel Aslankarayiğit Uğurlu, Suat Koç & Ünsal Tekir. (2021) Generalization of 2-absorbing quasi primary ideals. Novi Sad Journal of Mathematics 52:1, pages 155-171.
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Wala’a Alkasasbeh & Malik Bataineh. (2021) Generalizations of S- Prime Ideals. WSEAS TRANSACTIONS ON MATHEMATICS 20, pages 694-699.
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Eda Yildiz, Unsal Tekir & Suat Koc. (2021) On $$\phi $$-1-absorbing prime ideals. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 62:4, pages 907-918.
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I G A W Wardhana, N D H Nghiem, N W Switrayni & Q Aini. (2021) A note on almost prime submodule of CSM module over principal ideal domain. Journal of Physics: Conference Series 2106:1, pages 012011.
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A. Yassine, M. J. Nikmehr & R. Nikandish. (2020) On 1-absorbing prime ideals of commutative rings. Journal of Algebra and Its Applications 20:10.
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Ahmed Hamed & Achraf Malek. (2019) S-prime ideals of a commutative ring. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61:3, pages 533-542.
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Malik Bataineh & Akram Al-Areqie. (2019) On almost fuzzy prime ideals and sub-modules. Afrika Matematika 30:3-4, pages 611-621.
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M. K. Dubey & P. Aggarwal. (2018) On 2-Absorbing Ideals in Commutative Rings with Unity. Lobachevskii Journal of Mathematics 39:2, pages 185-190.
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Malik Bataineh & Ala’ Lutfi Khazaaleh. (2017) Graded Primary Submodules over Multiplication Modules. IOP Conference Series: Materials Science and Engineering 225, pages 012079.
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Razieh Moradi & Mahdieh Ebrahimpour. (2016) On ϕ-2-Absorbing Primary Submodules. Acta Mathematica Vietnamica 42:1, pages 27-35.
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Hojjat Mostafanasab & Ahmad Yousefian Darani. (2016) ON 𝜙-n-ABSORBING PRIMARY IDEALS OF COMMUTATIVE RINGS. Journal of the Korean Mathematical Society 53:3, pages 549-582.
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Esmaeil ROSTAMI & Reza NEKOOEI. (2016) On a question about almost prime ideals. TURKISH JOURNAL OF MATHEMATICS 40, pages 620-623.
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C. S. Manjarekar & A. V. Bingi. (2014) -Prime and -Primary Elements in Multiplicative Lattices . Algebra 2014, pages 1-7.
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S. Moradi & A. Azizi. (2013) n-almost prime submodules. Indian Journal of Pure and Applied Mathematics 44:5, pages 605-619.
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