A method for constructing semilattices of G-compactifications

We suggest a method for constructing G-spaces X such that the semilattice of G-compactifications of X coincides with the disjoint union of two semilattices corresponding to partitions of X into subspaces in which the maximal elements are identified. This method is applied to construct examples of G-Tychonoff spaces for which the semilattices of equivariant compactifications are of fairly simple structure and contain elements which are minimal but not least.     

关于两类特殊的代数

本文对泛代数中两类代作了一些研究，得到一些结果，并且讨论了这两类代数在半群中的应用。     

The Categories of m-semilatices

§１．ｍ┐ｓｅｍｉｌａｔｉｃｅｓＧｉｖｅｎａｃａｒｄｉｎａｌｍ．ＡｐｏｓｅｔＰｉｓｃａｌｅｄａｎｍ－ｓｅｍｉｌａｔｉｃｅ，ｉｆｆｏｒａｎｙｎｏｎ－ｅｍｐｔｙｓｕｂｓｅｔＢｏｆＰｗｉｔｈ｜Ｂ｜＜ｍ，ｔｈｅｉｎｆｉｍｕｍ∧ＢｅｘｉｓｔｓｉｎＰ．Ａｓｅｔｗ...     

偏序半群的最大自然序半格同态象

引进了自然序半格，偏序半群的自然序半格同态象和二次主根基等概念，利用二次主根基构造出了任意偏序半群的最大自然序半格同态象。     

群的正则带的KG-强半格分解

推广了著名的Petrich的完全正则半群为群的正规带当且仅当它为完全单半群的强半格的结果，证明了完全正则半群为群的正则(或右拟正规)带当且仅当它是完全单半群的HG(LG)-强半格．     

弱Clifford拟正则半群的半直积和圈积

本文给出两个么半群Ｓ和Ｔ的半直积和圈积为弱Ｃｌｉｆｆｏｒｄ拟正则么半群的充要条件和半直积的结构，同时还讨论了弱Ｃｌｉｆｆｏｒｄ拟正则么半群的最小群同余与半直积的最小群同余之间的关系．     

Ordered Compactifications of Products of Two Totally Ordered Spaces

We describe the semilattice of ordered compactifications of X × Y smaller than _o X × _o Y where X and Y are certain totally ordered topological spaces, and where _o Z denotes the Stone–ech ordered- or Nachbin-compactification of Z. These basic cases are used to illustrate techniques for describing the semilattice of ordered compactifications of X × Y smaller than _o X × _o Y for arbitrary totally ordered topological spaces X and Y. Such products X × Y provide many counterexamples in the theory of ordered compactifications.     

序半群中的最小完全半素序理想

在序半群上定义了几种新的关系,利用它们得到了序半群上最小完全半素理想的结构,并以此给出了序半群的最小正则半格同余的另一种描述,所得结果是Miroslav Ciric在文[1]中的部分结果向序半群上的推广。