| Title:
|
On structure space of $\Gamma$-semigroups (English) |
| Author:
|
Chattopadhyay, S. |
| Author:
|
Kar, S. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
47 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
37-46 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we introduce the notion of the structure space of $\Gamma $-semigroups formed by the class of uniformly strongly prime ideals. We also study separation axioms and compactness property in this structure space. (English) |
| Keyword:
|
$\Gamma $-semigroup |
| Keyword:
|
uniformly strongly prime ideal |
| Keyword:
|
Noetherian $\Gamma $-semigroup |
| Keyword:
|
hull-kernel topology |
| Keyword:
|
structure space |
| MSC:
|
20M17 |
| idZBL:
|
Zbl 1170.20039 |
| idMR:
|
MR2482715 |
| . |
| Date available:
|
2009-08-27T11:28:36Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133402 |
| . |
| Reference:
|
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| Reference:
|
[2] Dutta T. K., Chattopadhyay S.: On uniformly strongly prime $\Gamma $-semigroup.Analele Stiintifice Ale Universitatii “AL. I. CUZA” IASI Tomul LII, s.I, Math., 2006, f.2, 325–335. Zbl 1132.20041, MR 2341098 |
| Reference:
|
[3] Dutta T. K., Chattopadhyay S.: On Uniformly strongly prime $\Gamma $-semigroup (2).Accepted. |
| Reference:
|
[4] Gillman L.: Rings with Hausdorff structure space.Fund. Math. 45 (1957), 1–16. MR 0092773 |
| Reference:
|
[5] Chattopadhyay S.: Right Orthodox $\Gamma $-semigroup.Southeast Asian Bull. of Mathematics 29 (2005), 23–30. Zbl 1066.20066, MR 2125891 |
| Reference:
|
[6] Chattopadhyay S.: Right inverse $\Gamma $-semigroup.Bull. Cal. Math. Soc 93, 6 (2001), 435–442. Zbl 1002.20042, MR 1908897 |
| Reference:
|
[7] Kohls C. W.: The space of prime ideals of a ring.Fund. Math. 45 (1957), 17–27. Zbl 0079.26302, MR 0100610 |
| Reference:
|
[8] Saha N. K.: On $\Gamma $-semigroup III.Bull. Cal. Math. Soc. 80 (1988), 1–12. Zbl 0652.20061, MR 0956997 |
| Reference:
|
[9] Sen M. K., Saha N. K.: On $\Gamma $-semigroup I.Bull. Cal. Math. Soc. 78 (1986), 180–186. Zbl 0601.20063, MR 0851844 |
| Reference:
|
[10] Sen M. K., Chattopadhyay S.: Semidirect Product of a Monoid and a $\Gamma $-semigroup.East-West J. of Math. 6, 2 (2004), 131–138. Zbl 1098.20052, MR 2225411 |
| . |
