논문KCI 등재
On nonnil-exact sequences and nonnil-commutative diagrams
대한수학회 (The Korean Mathematical Society)|2023.11|대한수학회지 (Journal of the KMS)|제60권 제6호|pp. 1215-1231|DOI 10.4134/JKMS.j220503
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In this paper, we investigate the nonnil-exact sequences and nonnil-commutative diagrams and show that they behave in a way similar to the classical ones in Abelian categories.
Abstract
In this paper, we investigate the nonnil-exact sequences and nonnil-commutative diagrams and show that they behave in a way similar to the classical ones in Abelian categories.
참고문헌 (28)
- D. F. Anderson, "On ϕ-Pr¨ufer rings and ϕ-Bezout rings", Houston J. Math, 30(2), pp.331~343 (2004)
- D. F. Anderson, "On ϕ-Dedekind rings and ϕ-Krull rings", Houston J. Math, 31(4), pp.1007~1022 (2005)
- K. Bacem, "Nonnil-coherent rings", Beitr. Algebra Geom, 57(2), pp.297~305 (2016)[DOI]
- A. R. Badawi, "Lecture Notes in Pure and Appl. Math" (1999), Dekker
- A. R. Badawi, "On Φ-pseudo-valuation rings II", Houston J. Math, 26(3), pp.473~480 (2000)
- A. R. Badawi, "On ϕ-chained rings and ϕ-pseudo-valuation rings", Houston J. Math, 27(4), pp.725~736 (2001)
- A. R. Badawi, "Commutative rings", pp.5~14 (2002), Nova Sci. Publ
- A. R. Badawi, "On nonnil-Noetherian rings", Comm. Algebra, 31(4), pp.1669~1677 (2003)[DOI]
- A. R. Badawi, "Commutative algebra and its applications", pp.21~40 (2009), Walter de Gruyter
- A. R. Badawi, "Strong ring extensions and ϕ-pseudo-valuation rings", Houston J. Math, 32(2), pp.379~398 (2006)
- A. R. Badawi, "Some finiteness conditions on the set of overrings of a ϕ-ring", Houston J. Math, 34(2), pp.397~408 (2008)
- A. R. Badawi, "Arithmetical properties of commutative rings and monoids", pp.2005, Chapman & Hall
- A. R. Badawi, "On Φ-Mori rings", Houston J. Math, 32(1), pp.1~32 (2006)
- A. Benhissi, "Nonnil-Noetherian rings and formal power series", Algebra Colloq, 27(3), pp.361~368 (2020)[DOI]
- Ahmad Yousefian Darani, "On $\phi$-Schreier rings", 대한수학회지, 53(5), pp.1057~1075 (2016), 대한수학회
- S. Hizem, "Nonnil-Noetherian rings and the SFT property", Rocky Mountain J. Math, 41(5), pp.1483~1500 (2011)[DOI]
- R. E. Khalfaoui, "The ϕ-Krull dimension of some commutative extensions", Comm. Algebra, 48(9), pp.3800~3810 (2020)[DOI]
- A. E. Khalfi, "On ϕ-piecewise Noetherian rings", Comm. Algebra, 49(3), pp.1324~1337 (2021)[DOI]
- H. Kim, "On ϕ-strong Mori rings", Houston J. Math, 38(2), pp.359~371 (2012)
- C. Lomp, "Groups, rings and group rings", pp.205~217 (2009), Amer. Math. Soc
- X. Yang, "On nonnil-Noetherian rings", Southeast Asian Bull. Math, 33(6), pp.1215~1223 (2009)
- X. Zhang, "On ϕ-flat cotorsion theory", J. Guangxi Normal University, 39(2), pp.119~124 (2021)
- W. Zhao, "A few kinds of commutative rings with the nilradical as prime ideal", J. Neijiang Normal University, 30(6), pp.11~14 (2015)
- Wei Zhao, "On $\Phi$-flat modules and $\Phi$-Pr\"{u}fer rings", 대한수학회지, 55(5), pp.1221~1233 (2018), 대한수학회
- Wei Zhao, "ON 𝜙-EXACT SEQUENCES AND 𝜙-PROJECTIVE MODULES", 대한수학회지, 58(6), pp.1513~1528 (2021), 대한수학회[DOI]
- W. Zhao, "On nonnil-commutative diagrams and nonnil-projective modules", Comm. Algebra, 48(5), pp.3079~3090 (2022)
- Wei Zhao, "On ø-von Neumann regular rings", 대한수학회지, 50(1), pp.219~229 (2013), 대한수학회
- W. Zhao, "On Φ-projective modules and Φ-Pr¨ufer rings", Comm. Algebra, 48(7), pp.3079~3090 (2020)[DOI]
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