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Year 2024, Volume: 17 Issue: 1, 301 - 307, 28.03.2024
https://doi.org/10.18185/erzifbed.1392407

Abstract

References

  • [1] Anderson, D. D., Bataineh, M. (2008) Generalizations of prime ideals, Com- munications in Algebra, 36(2) 686-696.
  • [2] Anderson, D. D., Smith, E. (2003) Weakly prime ideals, Houston Journal of Mathematics, 29(4) 831-840.
  • [3] Aslankarayi ̆git U ̆gurlu, E., Bouba, E. M., Tekir, U ̈., Ko ̧c, S. (2023) On wsq- primary ideals, Czechoslovak Mathematical Journal, 73(2) 415-429.
  • [4] Badawi, A., Tekir, U ̈., U ̆gurlu, E. A., Ulucak, G.,Celikel, E. Y. (2016) Gen- eralizations of 2-absorbing primary ideals of commutative rings, Turkish Journal of Mathematics, 40(3) 703-717.
  • [5] Jayaram, C., Tekir, U ̈. (2018) von Neumann regular modules, Communica- tions in Algebra, 46(5) 2205-2217.
  • [6] Koc, S., Tekir, U., Ulucak, G. (2019) On sq primary ideals, Bulletin of the Korean Mathematical Society, 56(3) 729-743.
  • [7] Von Neumann, J. (1936) On regular rings, Proceedings of the National Academy of Sciences, 22(12) 707-713.

A Note On φ- Strongly Quasi Primary Ideals

Year 2024, Volume: 17 Issue: 1, 301 - 307, 28.03.2024
https://doi.org/10.18185/erzifbed.1392407

Abstract

Bu ¸calışmanın amacı asal ideallerin bir genelleştirmesi olan φ-kuvvetli yarı asalımsı idealleri tanımlamak ve bu ideallerin bazı temel özelliklerini incelemektir. R birimli ve değişmeli bir halka ve L(R), R nin tüm ideallerinin kümesi olsun. φ : L(R) → L(R)∪ {∅} olduğunu kabul edelim. Her a, b ∈ R olmak üzere ab ∈ I − φ(I) iken a^2∈ I veya b^n ∈
I ise R nin I has idealine φ-kuvvetli yarıasalımsı ideal denir. Tanımın ardından bu yeni yapının temel özellikleri belirlenerek φ-2 asal, kuvvetli yarıasalımsı ideal ve φ-yarıasal ideal gibi ideallerle olan ilişkisi incelenmiştir

References

  • [1] Anderson, D. D., Bataineh, M. (2008) Generalizations of prime ideals, Com- munications in Algebra, 36(2) 686-696.
  • [2] Anderson, D. D., Smith, E. (2003) Weakly prime ideals, Houston Journal of Mathematics, 29(4) 831-840.
  • [3] Aslankarayi ̆git U ̆gurlu, E., Bouba, E. M., Tekir, U ̈., Ko ̧c, S. (2023) On wsq- primary ideals, Czechoslovak Mathematical Journal, 73(2) 415-429.
  • [4] Badawi, A., Tekir, U ̈., U ̆gurlu, E. A., Ulucak, G.,Celikel, E. Y. (2016) Gen- eralizations of 2-absorbing primary ideals of commutative rings, Turkish Journal of Mathematics, 40(3) 703-717.
  • [5] Jayaram, C., Tekir, U ̈. (2018) von Neumann regular modules, Communica- tions in Algebra, 46(5) 2205-2217.
  • [6] Koc, S., Tekir, U., Ulucak, G. (2019) On sq primary ideals, Bulletin of the Korean Mathematical Society, 56(3) 729-743.
  • [7] Von Neumann, J. (1936) On regular rings, Proceedings of the National Academy of Sciences, 22(12) 707-713.
There are 7 citations in total.

Details

Primary Language English
Subjects Computational Methods in Fluid Flow, Heat and Mass Transfer (Incl. Computational Fluid Dynamics)
Journal Section Makaleler
Authors

Rabia Nagehan Üregen 0000-0002-6824-4752

Early Pub Date March 27, 2024
Publication Date March 28, 2024
Submission Date November 17, 2023
Acceptance Date December 14, 2023
Published in Issue Year 2024 Volume: 17 Issue: 1

Cite

APA Üregen, R. N. (2024). A Note On φ- Strongly Quasi Primary Ideals. Erzincan University Journal of Science and Technology, 17(1), 301-307. https://doi.org/10.18185/erzifbed.1392407