Pasting and semimodular lattices
type: Item
instance of: scholarly article
title: Pasting and semimodular lattices
zbMATH Open document ID: 0733.06004
DOI: 10.1007/BF01189003
published in: Algebra Universalis
publication date: 1990-01-01T00:00:00Z
review text: \textit{E. Fried} and the reviewer [Proc. Am. Math. Soc. 106, 885-890 (1989; Zbl 0678.06005)] proved that the variety of all modular lattices is closed under the pasting of finite lattices. The present note generalizes this: The class of all semimodular lattices is closed under the pasting of finite lattices. The proof is very elegant; it is more general and much simpler than the original proof.
Mathematics Subject Classification ID: 06C10
zbMATH DE Number: 4212118
zbMATH Keywords: semimodular lattices
zbMATH Keywords: pasting of finite lattices
author: E. T. Schmidt
MaRDI profile type: Publication
cites work: Q4165427
cites work: Q3887507
full work available at URL: https://doi.org/10.1007/bf01189003
OpenAlex ID: W2101294316
description: scientific article; zbMATH DE number 4212118