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1·Introduce the new concepts of weak domain, weak principal ideal ring and weak Euclidean ring.

引进了弱整环、弱主理想环、弱欧氏环等概念，研究了环的直和保持的一些性质。

2·This article discusses the ideal of lattice, attaining several conclusions on principal ideal and prime ideal.

讨论了格的理想，得到了一些主理想和素理想的几个结论。

3·This paper considers the moment problem for modules over principal ideal domain containing existence and uniqueness of solution.

研究主理想环上模的矩量问题，包括矩量问题的存在性和唯一性。