IJPAM: Volume 105, No. 4 (2015)
Depatrment of Mathematics
NMAMIT Nitte, Karkal taluk, Karnataka State, INDIA
Department of Mathematics
Vivekananda College of Engineering and Technology
Nehru Nagar, Puttur-574203, Karnataka State, INDIA
Abstract. In this paper, the concept of a node in a lattice introduced by J.Duda has been extended to trellises, a non- associative generalization of a lattice.It is proved that set of all nodes of a trellis forms a distributive lattice. Also we have proved that node of a trellis is standard if and only if it is not contained in a non trivial cycle.
Received: July 5, 2015
AMS Subject Classification: 06B20, 06B10
Key Words and Phrases: poset, lattice, psoset, trellis, node, monoid
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DOI: 10.12732/ijpam.v105i4.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 647 - 652