On Maximal Ideals of Compact Connected Topological Semigroups
Several results concerning ideals of a compact topological semigroup 𝑆 with 𝑆2=𝑆 can be found in the literature. In this paper, we further investigate in a compact connected topological semigroup 𝑆 how the conditions 𝑆2=𝑆 and 𝑆2≠𝑆 affect the structure of ideals of 𝑆, especially the maximal ideals....
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/357816 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555432918384640 |
|---|---|
| author | Phoebe McLaughlin Shing S. So Haohao Wang |
| author_facet | Phoebe McLaughlin Shing S. So Haohao Wang |
| author_sort | Phoebe McLaughlin |
| collection | DOAJ |
| description | Several results concerning ideals of a compact topological semigroup 𝑆 with 𝑆2=𝑆 can be found in the literature.
In this paper, we further investigate in a compact connected topological semigroup 𝑆 how the conditions 𝑆2=𝑆 and 𝑆2≠𝑆 affect
the structure of ideals of 𝑆, especially the maximal ideals. |
| format | Article |
| id | doaj-art-c13f1148945345c58a9a48d0636fd5d3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c13f1148945345c58a9a48d0636fd5d32025-02-03T05:48:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/357816357816On Maximal Ideals of Compact Connected Topological SemigroupsPhoebe McLaughlin0Shing S. So1Haohao Wang2Department of Mathematics and Computer Science, University of Central Missouri, Warrensburg, MO 64093, USADepartment of Mathematics and Computer Science, University of Central Missouri, Warrensburg, MO 64093, USADepartment of Mathematics, Southeast Missouri State University, Cape Girardeau, MO 63701, USASeveral results concerning ideals of a compact topological semigroup 𝑆 with 𝑆2=𝑆 can be found in the literature. In this paper, we further investigate in a compact connected topological semigroup 𝑆 how the conditions 𝑆2=𝑆 and 𝑆2≠𝑆 affect the structure of ideals of 𝑆, especially the maximal ideals.http://dx.doi.org/10.1155/2010/357816 |
| spellingShingle | Phoebe McLaughlin Shing S. So Haohao Wang On Maximal Ideals of Compact Connected Topological Semigroups International Journal of Mathematics and Mathematical Sciences |
| title | On Maximal Ideals of Compact Connected Topological Semigroups |
| title_full | On Maximal Ideals of Compact Connected Topological Semigroups |
| title_fullStr | On Maximal Ideals of Compact Connected Topological Semigroups |
| title_full_unstemmed | On Maximal Ideals of Compact Connected Topological Semigroups |
| title_short | On Maximal Ideals of Compact Connected Topological Semigroups |
| title_sort | on maximal ideals of compact connected topological semigroups |
| url | http://dx.doi.org/10.1155/2010/357816 |
| work_keys_str_mv | AT phoebemclaughlin onmaximalidealsofcompactconnectedtopologicalsemigroups AT shingsso onmaximalidealsofcompactconnectedtopologicalsemigroups AT haohaowang onmaximalidealsofcompactconnectedtopologicalsemigroups |