Geodesic
Some characterizations of completeness for trellises in terms of joins of cycles
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 267-272

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MR Zbl
This paper gives some new characterizations of completeness for trellises by introducing the notion of a cycle-complete trellis. One of our results yields, in particular, a characterization of completeness for trellises of finite length due to K. Gladstien (see K. Gladstien: Characterization of completeness for trellises of finite length, Algebra Universalis 3 (1973), 341–344).
This paper gives some new characterizations of completeness for trellises by introducing the notion of a cycle-complete trellis. One of our results yields, in particular, a characterization of completeness for trellises of finite length due to K. Gladstien (see K. Gladstien: Characterization of completeness for trellises of finite length, Algebra Universalis 3 (1973), 341–344).
Classification : 06A06, 06B05
Keywords: pseudo-ordered set; trellis; $p$-chain; ascending well-ordered $p$-chain; cycle-complete trellis; complete trellis 
Bhatta, S. Parameshwara; Shashirekha, H. Some characterizations of completeness for trellises in terms of joins of cycles. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 267-272. http://geodesic.mathdoc.fr/item/CMJ_2004_54_1_a24/
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[5] S.  Parameshwara Bhatta and H.  Shashirekha: A characterization of completeness for trellises. Algebra Universalis 44 (2000), 305–308. | DOI | MR

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