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Apart from J. B Nation's Notes on Lattice Theory, is there any other (mostly introductory) material on Lattices available online?

NB: The last update of Nation's notes was 2017, as of Feb 2023.

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For something brief to begin with see the notes by Eric Rasmusen, the introductions to lattice theory by Zukowski and Wang

An essay on history, somewhat from a personal view, by Giancarlo Rota is also nice.

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There is Burris and Sankappanavar's free book A Course in Universal Algebra.

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This is also pretty good

http://boole.stanford.edu/cs353/handouts/book1.pdf

short and sweet.

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Old thread, but who knows this might be useful to someone. A video lecture on Lattices:

https://www.youtube.com/watch?v=qPtGlrb_sXg

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  • Another intro: "An Introduction to Order Theory" by Zack French and James B. Hart, AMS Open Math Notes, 2020. It covers: Modular and Distributive Lattices / Relatively Complemented Lattices / Adjunctions and Heyting Lattices / Closure Operators and Compact Generation / Irreducible Elements in Lattices.

  • Coverage by another textbook about universal algebra: "An Invitation to General Algebra and Universal Constructions" by George M. Bergman, 2015. It was published by Springer, but the author also provides a pdf, last updated in 2020.

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