环和无差别群的嵌入原理

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2023-09-01 DOI:10.2478/forma-2023-0013

Yasushige Watase

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引用次数: 0

摘要

摘要文章关注在米扎（Mizar）系统中形式化关于代数结构嵌入的某个 Lemma，声称如果一个环 A 嵌入一个环 B，那么存在一个与 B 同构并包含 A 作为子环的环 C。这一构造适用于代数结构，如阿贝尔群和环。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Embedding Principle for Rings and Abelian Groups

Summary The article concerns about formalizing a certain lemma on embedding of algebraic structures in the Mizar system, claiming that if a ring A is embedded in a ring B then there exists a ring C which is isomorphic to B and includes A as a subring. This construction applies to algebraic structures such as Abelian groups and rings.

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来源期刊

Formalized Mathematics MATHEMATICS-

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： Formalized Mathematics is to be issued quarterly and publishes papers which are abstracts of Mizar articles contributed to the Mizar Mathematical Library (MML) - the basis of a knowledge management system for mathematics.