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SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES

Year 2018, Volume: 36 Issue: 2, 459 - 464, 01.06.2018

Abstract

In this paper we investigate -primary submodules which unify prime submodules and primary submodules. Our motivation is to extend the concept of -primary ideals into -primary submodules of modules over commutative rings. A number of main results about prime and primary submodules are extended into this general framework.

References

  • [1] Ameri R., (2003) On the Prime Submodules of Multiplication Modules, Inter. J.of Math. and Math. Sci., Hindawi Publishing Corp., 27, 1715-1724.
  • [2] Barnard A., (1981) Multiplication Modules, J. Algebra 71(1), 174–178.
  • [3] Dongsheng Z., (2001) -primary Ideals of Commutative Rings, Kyungpook Math. J., 41, 17-22.
  • [4] Oral K. H., Tekir U. and Agargun A. G., (2011) On Graded Prime and Primary Submodules, Turk J. Math., 35, 159 – 167.
  • [5] Tekir U., (2006) A Note on Multiplication Modules, Inter. J. of Pure and Appl. Math., 27(1), 103-107.
  • [6] Tekir U., (2007) On Multiplication Modules, International Mathematical Forum, 29, 1415-1420.
  • [7] J. Nezhad R. and Naderi M. H., (2009) On Prime and Semiprime Submodules of Multiplication Modules, International Mathematical Forum, 4(26), 1257 - 1266.
  • [8] Nader M. H. and J. Nezhad R., (2009) Weak Primary Submodules of Multiplication Modules and Intersection Theorem, Int. J. Contemp. Math. Sciences, 4(33), 1645 - 1652.
  • [9] Khaksari A., (2011) Weakly Pure Submodules of Multiplication Modules, International Journal of Algebra, 5(5), 247 - 250.
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Gürsel Yeşilot This is me 0000-0002-7279-9275

Esra Şengelen Sevim This is me

Gülşen Ulucak This is me 0000-0001-6690-6671

Emel Aslankarayiğit Uğurlu This is me 0000-0002-8475-7099

Publication Date June 1, 2018
Submission Date January 15, 2018
Published in Issue Year 2018 Volume: 36 Issue: 2

Cite

Vancouver Yeşilot G, Şengelen Sevim E, Ulucak G, Aslankarayiğit Uğurlu E. SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES. SIGMA. 2018;36(2):459-64.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/