Module amenability of the projective module tensor product
Let S be an inverse semigroup with the set of idempotents E. In the current paper, we show that the projective module tensor product -module amenable when S is amenable. This could be considered as the module version (for inverse semigroups) of a result of Johnson (1972) which asserts that for any (...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2011
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| Online Access: | http://psasir.upm.edu.my/id/eprint/38924/1/38924.pdf |
| _version_ | 1825949314006908928 |
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| author | Bodaghi, Abasalt |
| author_facet | Bodaghi, Abasalt |
| author_sort | Bodaghi, Abasalt |
| collection | UPM |
| description | Let S be an inverse semigroup with the set of idempotents E. In the current paper, we show that the projective module tensor product -module amenable when S is amenable. This could be considered as the module version (for inverse semigroups) of a result of Johnson (1972) which asserts that for any (discrete) amenable locally compact group G the projective tensor product is amenable. |
| first_indexed | 2024-03-06T08:42:39Z |
| format | Article |
| id | upm.eprints-38924 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:42:39Z |
| publishDate | 2011 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-389242015-09-04T13:07:31Z http://psasir.upm.edu.my/id/eprint/38924/ Module amenability of the projective module tensor product Bodaghi, Abasalt Let S be an inverse semigroup with the set of idempotents E. In the current paper, we show that the projective module tensor product -module amenable when S is amenable. This could be considered as the module version (for inverse semigroups) of a result of Johnson (1972) which asserts that for any (discrete) amenable locally compact group G the projective tensor product is amenable. Institute for Mathematical Research, Universiti Putra Malaysia 2011-07 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38924/1/38924.pdf Bodaghi, Abasalt (2011) Module amenability of the projective module tensor product. Malaysian Journal of Mathematical Sciences, 5 (2). pp. 257-265. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol5no2/8.%20Abasalt.pdf |
| spellingShingle | Bodaghi, Abasalt Module amenability of the projective module tensor product |
| title | Module amenability of the projective module tensor product |
| title_full | Module amenability of the projective module tensor product |
| title_fullStr | Module amenability of the projective module tensor product |
| title_full_unstemmed | Module amenability of the projective module tensor product |
| title_short | Module amenability of the projective module tensor product |
| title_sort | module amenability of the projective module tensor product |
| url | http://psasir.upm.edu.my/id/eprint/38924/1/38924.pdf |
| work_keys_str_mv | AT bodaghiabasalt moduleamenabilityoftheprojectivemoduletensorproduct |