On free modular lattices, II

Kensuke TAKEUCHI · Tohoku Mathematical Journal · 1959

The present paper is a continuation of the author's previous paper [8] under the same title, and it concerns some scattered topics related to the word problem for free modular lattices.§ 1 is devoted to the decision of the free modular lattice generated by 2 + 1 + 1. §2 deals with the word problem restricted to the case that ranks ^ 2, and § 3 with a solution of the word problem for free distributive lattices.In the course of these investigations it being desiraHe to clarify the situation where the word problem stands, the author wishes to present in the Appendix a formulation of the word problem for an arbitrary abstract algebra.

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