C ∗ -Algebra of Cancellative Semigroupoids
In this paper the definition and some properties of semigroupoids are considered. Representations, tight representations, and universal representations of a cancellative semigroupoid are discussed. Also, the C ∗ -algebra of a semigroupoid is introduced and it is shown that source elements tran...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2009-06-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/43 |
| _version_ | 1818949223810334720 |
|---|---|
| author | B. Tabatabaie |
| author_facet | B. Tabatabaie |
| author_sort | B. Tabatabaie |
| collection | DOAJ |
| description | In this paper the definition and some properties of semigroupoids
are considered. Representations, tight representations, and
universal representations of a cancellative semigroupoid are discussed.
Also, the C
∗
-algebra of a semigroupoid is introduced and it is shown
that source elements transfer to zero by tight representations. |
| first_indexed | 2024-12-20T08:59:17Z |
| format | Article |
| id | doaj.art-cbc2fa62f14f473ebcb995bff2402494 |
| institution | Directory Open Access Journal |
| issn | 1735-8299 1735-8299 |
| language | English |
| last_indexed | 2024-12-20T08:59:17Z |
| publishDate | 2009-06-01 |
| publisher | Islamic Azad University |
| record_format | Article |
| series | Journal of Mathematical Extension |
| spelling | doaj.art-cbc2fa62f14f473ebcb995bff24024942022-12-21T19:45:54ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992009-06-0132115C ∗ -Algebra of Cancellative SemigroupoidsB. Tabatabaie0Shiraz UniversityIn this paper the definition and some properties of semigroupoids are considered. Representations, tight representations, and universal representations of a cancellative semigroupoid are discussed. Also, the C ∗ -algebra of a semigroupoid is introduced and it is shown that source elements transfer to zero by tight representations.http://ijmex.com/index.php/ijmex/article/view/43 |
| spellingShingle | B. Tabatabaie C ∗ -Algebra of Cancellative Semigroupoids Journal of Mathematical Extension |
| title | C ∗ -Algebra of Cancellative Semigroupoids |
| title_full | C ∗ -Algebra of Cancellative Semigroupoids |
| title_fullStr | C ∗ -Algebra of Cancellative Semigroupoids |
| title_full_unstemmed | C ∗ -Algebra of Cancellative Semigroupoids |
| title_short | C ∗ -Algebra of Cancellative Semigroupoids |
| title_sort | c ∗ algebra of cancellative semigroupoids |
| url | http://ijmex.com/index.php/ijmex/article/view/43 |
| work_keys_str_mv | AT btabatabaie calgebraofcancellativesemigroupoids |