SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES

Gürsel Yeşilot; Esra Şengelen Sevim; Gülşen Ulucak; Emel Aslankarayiğit Uğurlu

SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES

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.

Keywords

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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

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

Esra Şengelen Sevim This is me
Türkiye

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

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

Publication Date

June 1, 2018

Submission Date

January 15, 2018

Acceptance Date

May 23, 2018

Published in Issue

Year 2018 Volume: 36 Number: 2

IZ

https://izlik.org/JA77KA73EF

Cite

RIS / Bibtex

APA

Yeşilot, G., Şengelen Sevim, E., Ulucak, G., & Aslankarayiğit Uğurlu, E. (2018). SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES. Sigma Journal of Engineering and Natural Sciences, 36(2), 459-464. https://izlik.org/JA77KA73EF

AMA

1.Yeşilot G, Şengelen Sevim E, Ulucak G, Aslankarayiğit Uğurlu E. SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES. SIGMA. 2018;36(2):459-464. https://izlik.org/JA77KA73EF

Chicago

Yeşilot, Gürsel, Esra Şengelen Sevim, Gülşen Ulucak, and Emel Aslankarayiğit Uğurlu. 2018. “SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES”. Sigma Journal of Engineering and Natural Sciences 36 (2): 459-64. https://izlik.org/JA77KA73EF.

EndNote

Yeşilot G, Şengelen Sevim E, Ulucak G, Aslankarayiğit Uğurlu E (June 1, 2018) SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES. Sigma Journal of Engineering and Natural Sciences 36 2 459–464.

IEEE

[1]G. Yeşilot, E. Şengelen Sevim, G. Ulucak, and E. Aslankarayiğit Uğurlu, “SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES”, SIGMA, vol. 36, no. 2, pp. 459–464, June 2018, [Online]. Available: https://izlik.org/JA77KA73EF

ISNAD

Yeşilot, Gürsel - Şengelen Sevim, Esra - Ulucak, Gülşen - Aslankarayiğit Uğurlu, Emel. “SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES”. Sigma Journal of Engineering and Natural Sciences 36/2 (June 1, 2018): 459-464. https://izlik.org/JA77KA73EF.

JAMA

1.Yeşilot G, Şengelen Sevim E, Ulucak G, Aslankarayiğit Uğurlu E. SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES. SIGMA. 2018;36:459–464.

MLA

Yeşilot, Gürsel, et al. “SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES”. Sigma Journal of Engineering and Natural Sciences, vol. 36, no. 2, June 2018, pp. 459-64, https://izlik.org/JA77KA73EF.

Vancouver

1.Gürsel Yeşilot, Esra Şengelen Sevim, Gülşen Ulucak, Emel Aslankarayiğit Uğurlu. SOME RESULTS ON DELTA–PRIMARY SUBMODULES OF MODULES. SIGMA [Internet]. 2018 Jun. 1;36(2):459-64. Available from: https://izlik.org/JA77KA73EF