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SEMIRADICAL EQUALITY

Year 2014, Volume: 2 Issue: 2, 35 - 41, 01.12.2014

SİBEL KILIÇARSLAN Cansu

Abstract

Semiprime radical of a module is defined and the relation betweenthe intersection of prime submodules and the intersection of semiprime submodules is investigated. Semiradical formula is defined and it is shown thatcartesian product of M× M2satisfies the semiradical formula if and only ifM1and Msatisfy the semiradical formula

Keywords

Semiprime submodules semiprime radical

References

  • J. Jenkins and P. F. Smith, On the prime radical of a module over a commutative ring, Comm. in Algebra. Vol:20, No.12 (1992), 3593 – 3602.
  • A. Azizi and A. Nikseresht, On radical formula in modules, Glasgow. Math. J. Vol:53, No.3 (2011), 657 – 668.
  • A. Parkash, Arithmetical rings satisfy the radical formula, Journal of Commutative Algebra. Vol:4, No.2 (2012), 293 – 296.
  • E. Ylmaz and S. Klarslan Cansu, Baer’s lower nilradical and classical prime submodules, Bul. Iran Math. Soc., to appear.
  • M. Alkan and Y. Tra, On prime submodules, Rocky Mountain Journal of Mathematics, Vol:37, No.3 (2007), 709 – 722.
  • S. Atani and F. K. Saraei, Modules which satisfy the radical formula, Int. J. Contemp. Math. Sci. Vol:2, No.1 (2007), 13 – 18.
  • Abant Izzet Baysal University, Science and Art Faculty, Department of Mathemat
  • ics, Bolu-TURKEY E-mail address: kilicarslan s@ibu.edu.tr

Year 2014, Volume: 2 Issue: 2, 35 - 41, 01.12.2014

SİBEL KILIÇARSLAN Cansu

Abstract

References

  • J. Jenkins and P. F. Smith, On the prime radical of a module over a commutative ring, Comm. in Algebra. Vol:20, No.12 (1992), 3593 – 3602.
  • A. Azizi and A. Nikseresht, On radical formula in modules, Glasgow. Math. J. Vol:53, No.3 (2011), 657 – 668.
  • A. Parkash, Arithmetical rings satisfy the radical formula, Journal of Commutative Algebra. Vol:4, No.2 (2012), 293 – 296.
  • E. Ylmaz and S. Klarslan Cansu, Baer’s lower nilradical and classical prime submodules, Bul. Iran Math. Soc., to appear.
  • M. Alkan and Y. Tra, On prime submodules, Rocky Mountain Journal of Mathematics, Vol:37, No.3 (2007), 709 – 722.
  • S. Atani and F. K. Saraei, Modules which satisfy the radical formula, Int. J. Contemp. Math. Sci. Vol:2, No.1 (2007), 13 – 18.
  • Abant Izzet Baysal University, Science and Art Faculty, Department of Mathemat
  • ics, Bolu-TURKEY E-mail address: kilicarslan s@ibu.edu.tr
There are 8 citations in total.

Details

Journal Section Articles
Authors

SİBEL KILIÇARSLAN Cansu This is me

Publication Date December 1, 2014
Submission Date April 4, 2015
Published in Issue Year 2014 Volume: 2 Issue: 2

Cite

APA Cansu, S. K. (2014). SEMIRADICAL EQUALITY. Konuralp Journal of Mathematics, 2(2), 35-41.
AMA Cansu SK. SEMIRADICAL EQUALITY. Konuralp J. Math. October 2014;2(2):35-41.
Chicago Cansu, SİBEL KILIÇARSLAN. “SEMIRADICAL EQUALITY”. Konuralp Journal of Mathematics 2, no. 2 (October 2014): 35-41.
EndNote Cansu SK (October 1, 2014) SEMIRADICAL EQUALITY. Konuralp Journal of Mathematics 2 2 35–41.
IEEE S. K. Cansu, “SEMIRADICAL EQUALITY”, Konuralp J. Math., vol. 2, no. 2, pp. 35–41, 2014.
ISNAD Cansu, SİBEL KILIÇARSLAN. “SEMIRADICAL EQUALITY”. Konuralp Journal of Mathematics 2/2 (October 2014), 35-41.
JAMA Cansu SK. SEMIRADICAL EQUALITY. Konuralp J. Math. 2014;2:35–41.
MLA Cansu, SİBEL KILIÇARSLAN. “SEMIRADICAL EQUALITY”. Konuralp Journal of Mathematics, vol. 2, no. 2, 2014, pp. 35-41.
Vancouver Cansu SK. SEMIRADICAL EQUALITY. Konuralp J. Math. 2014;2(2):35-41.
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