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A New View of Fuzzy Gamma Rings

Year 2010, Volume: 39 Issue: 3, 365 - 378, 01.03.2010

References

  • Akta¸s, H. and C¸ a˘gman, N. A type of fuzzy ring, Arch. Math. Logic 46 (3-4), 117–165, 2007.
  • Barnes, W. E. On the Γ-rings of Nobusawa, Pasific J. Math. 18, 411–422, 1966.
  • Yong-Chai, Y. Fuzzy ideal and fuzzy quotient rings, J. Fuzzy Math. 12, 19–26, 1985.
  • Demirci, M. Smooth groups, Fuzzy Sets and Systems 117, 431–437, 2001.
  • Demirci, M. Smooth subgroups and smooth homomorphisms, Fuzzy Sets and Systems 117, –446, 2001.
  • Hong, S. M. and Jun, Y. B. A note on fuzzy ideals in gamma rings, Bull. Honam Math. Soc. , 39–48, 1995.
  • Jun, Y. B. and Lee, C. Y. Fuzzy Γ-rings, Pusan Kyongnam Math. J. 8, 163–170, 1992.
  • Jun, Y. B. and Lee, C. Y. Fuzzy prime ideals in Γ-rings, Pusan Kyongnam Math. J. (Presently, East Asian Math. J.) 9 (1), 105–111, 1993.
  • Jun, Y. B., U¸ckun, M. and ¨Ozt¨urk, M. A. Fuzzy quotient gamma rings, J. Fuzzy Math. (2), 363–374, 2007.
  • Kyuno, S. On prime gamma rings, Pacific J. Math. 75 (1), 185–190, 1978.
  • Morderson, J. M. and Malik, D. S. Fuzzy Commutative Algebra (World Scientitific, Singa- pore, 1998).
  • Mukherjee, T. K. and Sen, M. K. On fuzzy ideals of a ring I, Fuzzy Sets and Systems 21 (1), –104, 1987.
  • Nobusawa, N. On generalization of the ring theory, Osaka J. Math. 1, 185–190, 1978.
  • ¨Ozt¨urk, M. A., U¸ckun, M. and Jun, Y. B. Characterizations of artinian and noetherian gamma-rings in terms of fuzzy ideals, Turk J. Math. 26 (2), 199–205, 2002.
  • ¨Ozt¨urk, M. A., U¸ckun, M. and Jun, Y. B. Fuzzy ideals in gamma rings, Turk J. Math. 27 (3), –374, 2003.
  • Rosenfeld, A. Fuzzy groups, J. Math. Anal. Appl. 35, 512–517, 1971.
  • Yuan, X. and Lee, E. S. Fuzzy group based on fuzzy binary operation, Comput. Math. Appl. , 631–641, 2004.
  • Zadeh, L. A. Fuzzy sets, Inform Control 8, 338–353, 1965.

A New View of Fuzzy Gamma Rings

Year 2010, Volume: 39 Issue: 3, 365 - 378, 01.03.2010

References

  • Akta¸s, H. and C¸ a˘gman, N. A type of fuzzy ring, Arch. Math. Logic 46 (3-4), 117–165, 2007.
  • Barnes, W. E. On the Γ-rings of Nobusawa, Pasific J. Math. 18, 411–422, 1966.
  • Yong-Chai, Y. Fuzzy ideal and fuzzy quotient rings, J. Fuzzy Math. 12, 19–26, 1985.
  • Demirci, M. Smooth groups, Fuzzy Sets and Systems 117, 431–437, 2001.
  • Demirci, M. Smooth subgroups and smooth homomorphisms, Fuzzy Sets and Systems 117, –446, 2001.
  • Hong, S. M. and Jun, Y. B. A note on fuzzy ideals in gamma rings, Bull. Honam Math. Soc. , 39–48, 1995.
  • Jun, Y. B. and Lee, C. Y. Fuzzy Γ-rings, Pusan Kyongnam Math. J. 8, 163–170, 1992.
  • Jun, Y. B. and Lee, C. Y. Fuzzy prime ideals in Γ-rings, Pusan Kyongnam Math. J. (Presently, East Asian Math. J.) 9 (1), 105–111, 1993.
  • Jun, Y. B., U¸ckun, M. and ¨Ozt¨urk, M. A. Fuzzy quotient gamma rings, J. Fuzzy Math. (2), 363–374, 2007.
  • Kyuno, S. On prime gamma rings, Pacific J. Math. 75 (1), 185–190, 1978.
  • Morderson, J. M. and Malik, D. S. Fuzzy Commutative Algebra (World Scientitific, Singa- pore, 1998).
  • Mukherjee, T. K. and Sen, M. K. On fuzzy ideals of a ring I, Fuzzy Sets and Systems 21 (1), –104, 1987.
  • Nobusawa, N. On generalization of the ring theory, Osaka J. Math. 1, 185–190, 1978.
  • ¨Ozt¨urk, M. A., U¸ckun, M. and Jun, Y. B. Characterizations of artinian and noetherian gamma-rings in terms of fuzzy ideals, Turk J. Math. 26 (2), 199–205, 2002.
  • ¨Ozt¨urk, M. A., U¸ckun, M. and Jun, Y. B. Fuzzy ideals in gamma rings, Turk J. Math. 27 (3), –374, 2003.
  • Rosenfeld, A. Fuzzy groups, J. Math. Anal. Appl. 35, 512–517, 1971.
  • Yuan, X. and Lee, E. S. Fuzzy group based on fuzzy binary operation, Comput. Math. Appl. , 631–641, 2004.
  • Zadeh, L. A. Fuzzy sets, Inform Control 8, 338–353, 1965.
There are 18 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Mehmet A. Öztürk This is me

Young Bae Jun This is me

Hasret Yazarli This is me

Publication Date March 1, 2010
Published in Issue Year 2010 Volume: 39 Issue: 3

Cite

APA Öztürk, M. A., Jun, Y. B., & Yazarli, H. (2010). A New View of Fuzzy Gamma Rings. Hacettepe Journal of Mathematics and Statistics, 39(3), 365-378.
AMA Öztürk MA, Jun YB, Yazarli H. A New View of Fuzzy Gamma Rings. Hacettepe Journal of Mathematics and Statistics. March 2010;39(3):365-378.
Chicago Öztürk, Mehmet A., Young Bae Jun, and Hasret Yazarli. “A New View of Fuzzy Gamma Rings”. Hacettepe Journal of Mathematics and Statistics 39, no. 3 (March 2010): 365-78.
EndNote Öztürk MA, Jun YB, Yazarli H (March 1, 2010) A New View of Fuzzy Gamma Rings. Hacettepe Journal of Mathematics and Statistics 39 3 365–378.
IEEE M. A. Öztürk, Y. B. Jun, and H. Yazarli, “A New View of Fuzzy Gamma Rings”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, pp. 365–378, 2010.
ISNAD Öztürk, Mehmet A. et al. “A New View of Fuzzy Gamma Rings”. Hacettepe Journal of Mathematics and Statistics 39/3 (March 2010), 365-378.
JAMA Öztürk MA, Jun YB, Yazarli H. A New View of Fuzzy Gamma Rings. Hacettepe Journal of Mathematics and Statistics. 2010;39:365–378.
MLA Öztürk, Mehmet A. et al. “A New View of Fuzzy Gamma Rings”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 3, 2010, pp. 365-78.
Vancouver Öztürk MA, Jun YB, Yazarli H. A New View of Fuzzy Gamma Rings. Hacettepe Journal of Mathematics and Statistics. 2010;39(3):365-78.