Partial Actions and Power Sets
We consider a partial action (X,α) with enveloping action (T,β). In this work we extend α to a partial action on the ring (P(X),Δ,∩) and find its enveloping action (E,β). Finally, we introduce the concept of partial action of finite type to investigate the relationship between (E,β) and (P(T),β)....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/376915 |
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| _version_ | 1850233777768366080 |
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| author | Jesús Ávila João Lazzarin |
| author_facet | Jesús Ávila João Lazzarin |
| author_sort | Jesús Ávila |
| collection | DOAJ |
| description | We consider a partial action (X,α) with enveloping action (T,β). In this work we extend α to a partial action on the ring (P(X),Δ,∩) and find its enveloping action (E,β). Finally, we introduce the concept of partial action of finite type to investigate the relationship between (E,β) and (P(T),β). |
| format | Article |
| id | doaj-art-06d6f0c647904df9bbeeb180bb2944db |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-06d6f0c647904df9bbeeb180bb2944db2025-08-20T02:02:51ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/376915376915Partial Actions and Power SetsJesús Ávila0João Lazzarin1Departamento de Matemáticas y Estadística, Universidad del Tolima, Ibagué, ColombiaDepartamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, RS, BrazilWe consider a partial action (X,α) with enveloping action (T,β). In this work we extend α to a partial action on the ring (P(X),Δ,∩) and find its enveloping action (E,β). Finally, we introduce the concept of partial action of finite type to investigate the relationship between (E,β) and (P(T),β).http://dx.doi.org/10.1155/2013/376915 |
| spellingShingle | Jesús Ávila João Lazzarin Partial Actions and Power Sets International Journal of Mathematics and Mathematical Sciences |
| title | Partial Actions and Power Sets |
| title_full | Partial Actions and Power Sets |
| title_fullStr | Partial Actions and Power Sets |
| title_full_unstemmed | Partial Actions and Power Sets |
| title_short | Partial Actions and Power Sets |
| title_sort | partial actions and power sets |
| url | http://dx.doi.org/10.1155/2013/376915 |
| work_keys_str_mv | AT jesusavila partialactionsandpowersets AT joaolazzarin partialactionsandpowersets |