论文标题
有限长度的模块化晶格(A部分)
Modular lattices of finite length (Part A)
论文作者
论文摘要
这是专门针对有限长度模块化晶格的四个部分的A部分。它建立在1992年作者的注释(可在研究门上获得),因此请注意已故的吉安 - 卡洛·罗塔(Gian-Carlo Rota)的愿望。 A部分是相当最终的形式,主要具有已知材料,例外是晶格一致性晶格的分布性的简短证明,以及分解点的概念(适用于任意的部分线性空间)。 B,C,D部分的计划内容是在引入A部分的。足以说,C.Herrmann和R.Wille的深刻结果将首次用英语对待。所有这些(甚至A部分)都是流程的工作,欢迎评论/贡献。
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.