On SIP and SSP Modules

Fatih Karabacak

On SIP and SSP Modules

Abstract

M has the summmand intersection property (SIP), if the intersection of every two direct summands in M is a direct summand in M, and a module has the summand sum property (SSP), if the sum of every two direct summand in M is a direct summand in M. In this note, we show that modules have these properties under some conditions.

Keywords

Direct summand,SIP-modules

References

[1] Anderson FW, Fuller KR. Rings and Categories of modules. New York, USA: Springer-Verlag, 1974
[2] Fuchs L. Infinite Abelian Groups. Academic Press, New York, USA:1970.
[3] Kaplansky I. Infinite Abelian Groups. Michigan, USA: university of Michigan, 1969.
[4] Wilson GV. Modules with on the direct summand intersection proerty. Comm. Algebra 1986; 14: 21-38.
[5] Garcia JL. Properties of direct summands of modules. Comm. Algebra 1989; 17(1): 73-92.
[6] Alkan M, Harmancı A. On summand sum and summand intersection property of modules. Turk J. Math 2002; 26:131-147.
[7] Dung NV, Huyn DV, Smith PF, Wisbauer R. Extending Modules, London, UK: Longman, 1990.
[8] Clark J, Lomp C, Vanaja N, Wisbauer R. Lifting Modules. Berlin, Germany: Birkhause Verlag, 2006.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Fatih Karabacak This is me

Publication Date

June 1, 2018

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2018 Volume: 6 Number: 2

IZ

https://izlik.org/JA63WJ94AM

Cite

RIS / Bibtex

APA

Karabacak, F. (2018). On SIP and SSP Modules. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, 6(2), 124-128. https://izlik.org/JA63WJ94AM

AMA

1.Karabacak F. On SIP and SSP Modules. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2018;6(2):124-128. https://izlik.org/JA63WJ94AM

Chicago

Karabacak, Fatih. 2018. “On SIP and SSP Modules”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler 6 (2): 124-28. https://izlik.org/JA63WJ94AM.

EndNote

Karabacak F (June 1, 2018) On SIP and SSP Modules. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 6 2 124–128.

IEEE

[1]F. Karabacak, “On SIP and SSP Modules”, Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler, vol. 6, no. 2, pp. 124–128, June 2018, [Online]. Available: https://izlik.org/JA63WJ94AM

ISNAD

Karabacak, Fatih. “On SIP and SSP Modules”. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler 6/2 (June 1, 2018): 124-128. https://izlik.org/JA63WJ94AM.

JAMA

1.Karabacak F. On SIP and SSP Modules. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler. 2018;6:124–128.

MLA

Karabacak, Fatih. “On SIP and SSP Modules”. Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler, vol. 6, no. 2, June 2018, pp. 124-8, https://izlik.org/JA63WJ94AM.

Vancouver

1.Fatih Karabacak. On SIP and SSP Modules. Eskişehir Teknik Üniversitesi Bilim ve Teknoloji Dergisi B - Teorik Bilimler [Internet]. 2018 Jun. 1;6(2):124-8. Available from: https://izlik.org/JA63WJ94AM