In this paper, we prove reconstruction results for truncated lattices. The main results are that truncated lattices that contain a 4-crown and truncated semi-modular lattices are reconstructible. Reconstruction of the truncated lattices not covered by this work appears challenging. Indeed, the remai
A Representation of Finitely-Modular AC-lattices
β Scribed by Jan Hamhalter
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 231 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
We give a latticeβtheoretic characterization of the lattices of Mackey closed subspaces in a vector space V (dim V β§ 4): These are exactly complete finitelyβmodular ACβlattices of the length at least four which have mutually perspective atoms.
π SIMILAR VOLUMES
Let k be a field and let A n Ο be the Taft's n 2 -dimensional Hopf algebra. When n is odd, the Drinfeld quantum double D A n Ο of A n Ο is a ribbon Hopf algebra. In a previous paper we constructed an n 4 -dimensional Hopf algebra H n p q which is isomorphic to D A n Ο if p = 0 and q = Ο -1 , and stu
This article is devoted to the following problem: Let R be a finite local ring with identity. Can R be embedded into a matrix ring over a commutative ring? The question is reduced to an explicitly described class of test-cases.