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References

  1. [1] A.R. Ashrafi, About some join spaces and hyperlattices, Ital. J. Pure Appl. Math., 10 (2001), 199-205.
  2. [2] H.J. Bandelt, The tensor product of continious lattices, Mathematische Zeitschrift, 172(1) (1980), 89-96.10.1007/BF01182783
  3. [3] P. Corsini and V. Leoreanu, Applications of Hyperstructure Theory, Ad- vances in Mathematics, Kluwer Academic Publishers, Dordrecht, 2003.10.1007/978-1-4757-3714-1
  4. [4] B. Davvaz and V. Leoreanu-Fotea, Hyperring Theory and Applications. International Academic Press, USA, 2007.
  5. [5] G.A. Fraser, The tensor product of distributive lattices, Proceedings of the Edinburgh Mathematical Society, 20(02) (1976), 121-131.10.1017/S0013091500010622
  6. [6] X.Z. Guo and X. L. Xin, Hyperlattice, Pure Appl. Math., 20 (2004), 40-43.
  7. [7] S.W. Han and B. Zhao, Distributive hyperlattice, J. Northwest Univ., 35(2) (2005), 125-129.10.2960/J.v35.m529
  8. [8] J. Jakubik, On strong superlattices, Math. Slovaca, 44(2) (1994) 131-138.10.21136/CMJ.1994.128457
  9. [9] A. Kehagias, K. Sera_midis and M. Konstantinidou, A note on the con- gruences of the Nakano superlattice and some properties of the associated quotients, Rendiconti Matematico di Palermo, 51(2) (2002), 333-354.10.1007/BF02871659
  10. [10] M. Konstantinidou, On P-hyperlattices and their distributivity, Rendi- conti del Circolo Matematico di Palermo, 42(3) (1993), 391-403.10.1007/BF02844630
  11. [11] M. Konstantinidou, On the hyperlattices-ordered groupoids, Boll. Un. Mat. Ital. A (6), 2(3) (1983), 343-350.
  12. [12] M. Konstantinidou and J. Mittas, An introduction to the theory of hyper- lattices, Mathematica Balkanica, 7 (1977), 187-193.
  13. [13] V. Leoreanu-Fotea and B. Davvaz, Join n-spaces and lattices, Journal of Multiple-Valued Logic and Soft Computing, 15(5-6) (2009), 421-432.
  14. [14] V. Leoreanu and R. Gheorghe, Direct limit and inverse limit of join spaces associated with lattices, Ital. J. Pure Appl. Math., 11 (2002), 121-130.
  15. [15] F. Marty, Sur une generalisation de la notion de groupe, in 8th Congres des Mathematiciens Scandinaves, (1934) 45-49.
  16. [16] J. Mittas and M. Konstantinidou, An introduction to the theory of hyper- lattices, Math. Balkanica, 7 (1977), 187-193.
  17. [17] J. Mittas and M. Konstantinidou, Sur une nouvelle generation de la no- tion de treillis. Les supertreillis et certaines de leurs proprietes generales, Ann. Sci. Univ. Blaise Pascal, Ser. Math., 25 (1989), 61-83.
  18. [18] M. Ploscia, Separation properties in congruence lattices of lattices, Colloq. Math., 83 (2003), 71-84.10.4064/cm-83-1-71-84
  19. [19] M. Ploscia, Relative separation in distributive congruence lattices, Algebra Universalis, 52(2-3) (2005), 313-323.10.1007/s00012-004-1897-6
  20. [20] M. Ploscia and M. Harviar, Congruence- preserving functions on distribu- tive lattices, Algebra Universalis, 59(1-2) (2008), 179-196.10.1007/s00012-008-2099-4
  21. [21] A. Rahnamai-Barghi, The prime ideal theorem and semiprime ideals in meethyperlattices, Ital. J. Pure Appl. Math., 5 (1999), 53-60.
  22. [22] A. Rahnamai-Barghi, The prime ideal theorem for distributive hyperlat- tices, Ital. J. Pure Appl. Math., 10 (2001), 75-78.
  23. [23] S. Rasouli and B. Davvaz, Construction and spectral topology on hyper- lattices, Mediterranean Journal of Mathematics, 7(2) (2010), 249-262.10.1007/s00009-010-0065-9
  24. [24] S. Rasouli and B. Davvaz, Lattices derived from hyperlattices, Comm. Algebra, 38(8) (2010), 2720-2737.10.1080/00927870903055230
  25. [25] Z. Shmuely, The tensor product of distributive lattices, Algebra Univer- salis, 9(1) (1979), 281-296.10.1007/BF02488040
  26. [26] A. Soltani Lashkenari and B. Davvaz, Complete join hyperlattices, Indian J. Pure Appl. Math., 46(5) (2015), 633-645.10.1007/s13226-015-0130-y
  27. [27] J. Wang, Y. Jun, X. Xin and Y. Zou , On derivation of bounded hyperlat- tices, Journal of Mathematical Research with Applications, 36(2) (2016), 151-161.
DOI: https://doi.org/10.1515/auom-2017-0028 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 171 - 183
Submitted on: May 20, 2016
Accepted on: Sep 2, 2016
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2017 A. Soltani Lashkenari, B. Davvaz, published by Ovidius University of Constanta
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