有限长度模格（A部分）
Modular lattices of finite length (Part A)
AI总结：
本文是有限长度模格四部分研究的A部分，整理作者1992年笔记，涵盖同余格分配性的简短证明与点分裂概念，并预告后续将首次英文介绍Herrmann和Wille的深刻结果。
摘要：
这是论述有限长度模格的四个部分中的A部分。它以作者1992年的笔记（可在ResearchGate上获取）为基础，并借此实现已故Gian-Carlo Rota的一个愿望。A部分已处于相当最终的形式，主要呈现已知材料，例外之处包括格的同余格分配性的简短证明，以及点分裂（point-splitting）概念（适用于任意偏线性空间）。计划中的B、C、D部分内容在A部分的引言中给出。可以说，来自C. Herrmann和R. Wille的深刻结果将首次以英文加以论述。所有这些工作（甚至A部分）仍在进行中，欢迎评论和贡献。
英文摘要：
This is Part A of four Parts dedicated to modular lattices of finite length. It builds on 1992 notes of the author (available on ResearchGate), and in so doing heeds a wish of the late Gian-Carlo Rota. Part A is in fairly final form and mainly features known material, exceptions being a short proof of the distributivity of congruence lattices of lattices, as well as the concept of a point-splitting (which applies to arbitrary partial linear spaces). The planned content of Parts B,C,D is given in the introduction of Part A. Suffice it to say that deep results from C.Herrmann and R.Wille will be treated in English for the first time. All of this (even Part A) is work in process and comments/contributions are welcome.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
