Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2021, Cilt: 4 Sayı: 2, 83 - 87, 01.06.2021
https://doi.org/10.33401/fujma.869714

Öz

Kaynakça

  • [1] N. V. Dung, D. V. Huynh, P. F. Smith, R. Wisbauer, Extending Modules, Longman, Harlow, 1994.
  • [2] F. T. Mutlu, On matrix rings with the SIP and the Ads, Turk. J. Math., 42 (2018), 2657 – 2663.
  • [3] A. Tercan, C. C. Y¨ucel, Module theory extending modules and generalizations, Birkhauser, Basel, 2016.
  • [4] R. Yasşar, Modules in which semisimple fully invariant submodules are essential in summands, Turk. J. Math., 43(5) (2019), 2327-2336.
  • [5] G. F. Birkenmeier, Y. Kara, A. Tercan, p-Baer rings, J. Algebra App., 17(2) (2018), 1850029.
  • [6] G. F. Birkenmeier, A. Tercan, C. C. Y¨ucel, The extending condition relative to sets of submodules, Comm. Algebra, 42 (2014), 764-778.
  • [7] Y. Kara, On projective invariant semisimple submodules, Al-Qadisiyah J. Pure Sci., 26(1) (2020), 13-19.
  • [8] B. Zimmermann, W. Zimmermann, Classes of modules with the exchange property, J. Algebra, 88(2) (1984), 416-434.
  • [9] S. H. Mohamed, B. J. M¨uller, Continuous and Discrete Modules, Cambridge University Press, 1990.
  • [10] G. F. Birkenmeier, J. K. Park, S. T. Rizvi, Extensions of rings and modules, Birkhauser, New York, NY, USA, 2013.
  • [11] L. Fuchs, Infinite Abelian Groups I, Academic Press, New York, NY, USA, 1970.
  • [12] A. Tercan, Weak (C11) modules and algebraic topology type examples, Rocky Mount J. Math., 34(2) (2004), 783-792.
  • [13] I. Kaplansky, Rings of Operators, Benjamin, New York, NY, USA, 1968.

On Weak Projection Invariant Semisimple Modules

Yıl 2021, Cilt: 4 Sayı: 2, 83 - 87, 01.06.2021
https://doi.org/10.33401/fujma.869714

Öz

We introduce and investigate the notion of weak projection invariant semisimple modules. We deal with the structural properties of this new class of modules. In this trend we have indecomposable decompositions of the special class of the former class of modules via some module theoretical properties. As a consequence, we obtain when the finite exchange property implies full exchange property for the latter class of modules.

Kaynakça

  • [1] N. V. Dung, D. V. Huynh, P. F. Smith, R. Wisbauer, Extending Modules, Longman, Harlow, 1994.
  • [2] F. T. Mutlu, On matrix rings with the SIP and the Ads, Turk. J. Math., 42 (2018), 2657 – 2663.
  • [3] A. Tercan, C. C. Y¨ucel, Module theory extending modules and generalizations, Birkhauser, Basel, 2016.
  • [4] R. Yasşar, Modules in which semisimple fully invariant submodules are essential in summands, Turk. J. Math., 43(5) (2019), 2327-2336.
  • [5] G. F. Birkenmeier, Y. Kara, A. Tercan, p-Baer rings, J. Algebra App., 17(2) (2018), 1850029.
  • [6] G. F. Birkenmeier, A. Tercan, C. C. Y¨ucel, The extending condition relative to sets of submodules, Comm. Algebra, 42 (2014), 764-778.
  • [7] Y. Kara, On projective invariant semisimple submodules, Al-Qadisiyah J. Pure Sci., 26(1) (2020), 13-19.
  • [8] B. Zimmermann, W. Zimmermann, Classes of modules with the exchange property, J. Algebra, 88(2) (1984), 416-434.
  • [9] S. H. Mohamed, B. J. M¨uller, Continuous and Discrete Modules, Cambridge University Press, 1990.
  • [10] G. F. Birkenmeier, J. K. Park, S. T. Rizvi, Extensions of rings and modules, Birkhauser, New York, NY, USA, 2013.
  • [11] L. Fuchs, Infinite Abelian Groups I, Academic Press, New York, NY, USA, 1970.
  • [12] A. Tercan, Weak (C11) modules and algebraic topology type examples, Rocky Mount J. Math., 34(2) (2004), 783-792.
  • [13] I. Kaplansky, Rings of Operators, Benjamin, New York, NY, USA, 1968.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Ramazan Yaşar 0000-0001-6775-1069

Yayımlanma Tarihi 1 Haziran 2021
Gönderilme Tarihi 28 Ocak 2021
Kabul Tarihi 5 Nisan 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 4 Sayı: 2

Kaynak Göster

APA Yaşar, R. (2021). On Weak Projection Invariant Semisimple Modules. Fundamental Journal of Mathematics and Applications, 4(2), 83-87. https://doi.org/10.33401/fujma.869714
AMA Yaşar R. On Weak Projection Invariant Semisimple Modules. FUJMA. Haziran 2021;4(2):83-87. doi:10.33401/fujma.869714
Chicago Yaşar, Ramazan. “On Weak Projection Invariant Semisimple Modules”. Fundamental Journal of Mathematics and Applications 4, sy. 2 (Haziran 2021): 83-87. https://doi.org/10.33401/fujma.869714.
EndNote Yaşar R (01 Haziran 2021) On Weak Projection Invariant Semisimple Modules. Fundamental Journal of Mathematics and Applications 4 2 83–87.
IEEE R. Yaşar, “On Weak Projection Invariant Semisimple Modules”, FUJMA, c. 4, sy. 2, ss. 83–87, 2021, doi: 10.33401/fujma.869714.
ISNAD Yaşar, Ramazan. “On Weak Projection Invariant Semisimple Modules”. Fundamental Journal of Mathematics and Applications 4/2 (Haziran 2021), 83-87. https://doi.org/10.33401/fujma.869714.
JAMA Yaşar R. On Weak Projection Invariant Semisimple Modules. FUJMA. 2021;4:83–87.
MLA Yaşar, Ramazan. “On Weak Projection Invariant Semisimple Modules”. Fundamental Journal of Mathematics and Applications, c. 4, sy. 2, 2021, ss. 83-87, doi:10.33401/fujma.869714.
Vancouver Yaşar R. On Weak Projection Invariant Semisimple Modules. FUJMA. 2021;4(2):83-7.

Creative Commons License
The published articles in Fundamental Journal of Mathematics and Applications are licensed under a