• Journal for History of Mathematics
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• v.19 no.4
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• pp.97-106
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• 2006

The lattice originated from logic, not mathematics. Around 1880, Peirce thought that all the lattices were distributives, however $Schr{\"{o}}der$ corrected the error around 1890. In 1993, Birkhoff used the term lattice for the first time that had a different meaning from today's lattice. This paper introduces Peirce, and studies correlation among atomic lattices, atomistic lattices, J-lattices, strong lattices and distributive lattices.

• Proceedings of the Korean Society for History of Mathematics Conference
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• 2005.11a
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• pp.5-5
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• 2005

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• Journal of the Chungcheong Mathematical Society
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• v.20 no.3
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• pp.211-221
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• 2007

In this paper, we define ${\bigwedge}$-structure, ${\bigvee}$-structure to generalize some lattices, and study the conditions that a lattice which has ${\bigwedge}$-structure or ${\bigvee}$-structure to be continuous or algebraic.