Skew lattices

Authors

  • K. V. R. Srinivas Regency Institute of Technology.

DOI:

https://doi.org/10.4067/S0716-09172011000100005

Keywords:

Skew lattice, Symmetric lattice.

Abstract

In this paper mainly important properties of skew lattices and symmetric Lattices is obtained. A necessary and sufficient condition for skew lattice to be symmetric is obtained. Maximal element of a skew lattice is also obtained.

Author Biography

K. V. R. Srinivas, Regency Institute of Technology.

Dept. of Applied Sciences.

References

[1] Ger Hardts, M. D.; Zur; Charakterisierung distributive, schiefverbande, Math. Ann.; 161, pp. 231-240, (1965).

[2] Ger Hardts, M. D.; S chragverbande and voquasiordnungen, Math. Ann. ; 181, pp. 65-73, (1969).

[3] Jonathan Leech; Small skew lattices in rings Semigroup forum, Vol-70 ; (2005) pp. 307-311.

[4] Jordan P.; Under nichtkommutative verbande Arch. Math; 2, pp. 56- 59, (1949).

[5] Jonathan Leech; Skew Lattices in rings Algebra Universalis 26, pp. 48-72, (1989).

[6] Schien B.; Pseudo semi lattices and pseudo lattices Amer. Math Soc. tansl(2) 119, pp. 1-16, (1983).

[7] Schweigert D.; Near lattices Math. Solvaca; 32, pp. 313-317, (1982).

[8] Schweigert D.; Distributive Associative near lattices Math. Solvaca; 35, pp. 313-317, (1985).

Published

2011-05-25

How to Cite

[1]
K. V. R. Srinivas, “Skew lattices”, Proyecciones (Antofagasta, On line), vol. 30, no. 1, pp. 51-57, May 2011.

Issue

Section

Artículos