THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP
In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is faithful. Finally concrete examples of commutativ...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1992-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31522_62c3b934436e4f53005d63ad8ce419b0.pdf |
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| _version_ | 1850268194411905024 |
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| collection | DOAJ |
| description | In this paper, a commutative semigroup will be written as a disjoint union of its
cancellative subsemigroups. Based on this fact we will define the left regular
representation of a commutative separative semigroup and show that this
representation is faithful. Finally concrete examples of commutative separative
semigroups, their decompositions and their left regular representations are given. |
| format | Article |
| id | doaj-art-e327d65cdb66424ebfcfb5e700869348 |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1992-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-e327d65cdb66424ebfcfb5e7008693482025-08-20T01:53:31ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141992-12-013231522THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUPIn this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is faithful. Finally concrete examples of commutative separative semigroups, their decompositions and their left regular representations are given.https://jsciences.ut.ac.ir/article_31522_62c3b934436e4f53005d63ad8ce419b0.pdf |
| spellingShingle | THE LEFT REGULAR REPRESENTATION OF A
COMMUTATIVE SEPARATIVE SEMIGROUP Journal of Sciences, Islamic Republic of Iran |
| title | THE LEFT REGULAR REPRESENTATION OF A
COMMUTATIVE SEPARATIVE SEMIGROUP |
| title_full | THE LEFT REGULAR REPRESENTATION OF A
COMMUTATIVE SEPARATIVE SEMIGROUP |
| title_fullStr | THE LEFT REGULAR REPRESENTATION OF A
COMMUTATIVE SEPARATIVE SEMIGROUP |
| title_full_unstemmed | THE LEFT REGULAR REPRESENTATION OF A
COMMUTATIVE SEPARATIVE SEMIGROUP |
| title_short | THE LEFT REGULAR REPRESENTATION OF A
COMMUTATIVE SEPARATIVE SEMIGROUP |
| title_sort | left regular representation of a commutative separative semigroup |
| url | https://jsciences.ut.ac.ir/article_31522_62c3b934436e4f53005d63ad8ce419b0.pdf |