211
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Lattices Derived from Hyperlattices

&
Pages 2720-2737 | Received 14 May 2009, Published online: 18 Aug 2010

REFERENCES

  • Ashrafi , A. R. ( 2001 ). About some join spaces and hyperlattices . Italian J. Pure Appl. Math. 10 : 199 – 205 .
  • Ghorbani , S. , Eslami , E. , Hasankhani , A. ( 2007 ). Quotient hyper MV-algebras . Sci. Math. Jpn. 66 : 371 – 386 .
  • Kehagias , A. , Serafimidis , K. , Konstantinidou , M. ( 2004 ). Congruences of the Nakano Superlattice and Some of Their Properties . Conference “Applied Differential Geometry: General Relativity”—Workshop “Global Analysis, Differential Geometry, Lie Algebras,” 73–84, BSG Proc., 11, Geom. Balkan Press, Bucharest, Romania .
  • Konstantinidou , M. , Mittas , J. ( 1977 ). An introduction to the theory of hyperlattices . Math. Balkanica 7 : 187 – 193 .
  • Konstantinidou , M. ( 1993 ). On P-hyperlattices and their distributivity . Rend. Circ. Mat. Palermo 42 ( 2 ): 391 – 403 .
  • Konstantinidou , M. , Serafimidis , K. ( 1993 ). Hyperstructures derivees dun trellis particulier . Rend. Mat. Appl. 7 : 257 – 265 .
  • Leoreanu-Fotea , V. , Davvaz , B. ( 2008 ). n-hypergroups and binary relations . European Journal of Combinatorics 29 : 1207 – 1218 .
  • Leoreanu-Fotea , V. , Davvaz , B. ( 2009 ). Join n-spaces and lattices . Journal of Multiple-Valued Logic and Soft Computing. 15 : 421 – 432 .
  • Leoreanu-Fotea , V. , Gheorghe , R. ( 2002 ). Direct limit and inverse limit of join spaces associated with lattices . Italian J. Pure Appl. Math. 11 : 121 – 130 .
  • Mittas , J. , Konstantinidou , M. ( 1989 ). Sur une nouvelle generation de la notion de treillis. Les supertreillis et certaines de leurs proprietes generales . Ann. Sci. Univ. Blaise Pascal, Ser. Math. 25 : 61 – 83 .
  • Mittas , J. , Konstantinidou , M. ( 1994 ). Contributions ‘a la theorie des treillis avec des structures hypercompositionnelles y attachees . Riv. Mat. Pura Appl. 14 : 83 – 114 .
  • Mittas , J. , Konstantinidou , M. ( 1976 ). Introduction ‘a lhyperalg‘ebre de Boole . Math. Balkanica 6 : 314 – 320 .
  • Nakano , T. ( 1967 ). Rings and partly ordered systems . Math. Zeitschrift 99 : 355 – 376 .
  • Rahnamai-Barghi , A. ( 1999 ). The prime ideal theorem and semiprime ideals in meethyperlattices . Ital. Journal of Pure and Applied Math. 5 : 53 – 60 .
  • Rahnamai-Barghi , A. ( 2001 ). The prime ideal theorem for distributive hyperlattices . Ital. Journal of Pure and Applied Math. 10 : 75 – 78 .
  • Vougiouklis , T. ( 1994 ). Hyperstructures and Their Representations . Palm Harber , USA : Hadronic Press, Inc , p. 115 .
  • Chang , C. C. ( 1958 ). Algebraic analysis of many-valued logics . Transaction of American Mathematical Society 88 : 476 – 490 .
  • Communicated by J. Zhang.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.