| Title:
|
A remark on the Morita theorem for operads (English) |
| Author:
|
Stanculescu, Alexandru E. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
47 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
139-150 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We extend a result of M. M. Kapranov and Y. Manin concerning the Morita theory for linear operads. We also give a cyclic operad version of their result. (English) |
| Keyword:
|
operads |
| Keyword:
|
Morita theorems |
| MSC:
|
18D50 |
| idZBL:
|
Zbl 1249.18003 |
| idMR:
|
MR2813540 |
| . |
| Date available:
|
2011-06-06T14:43:25Z |
| Last updated:
|
2013-09-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141563 |
| . |
| Reference:
|
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| Reference:
|
[2] Kapranov, M. M., Manin, Y.: Modules and Morita theorem for operads.Amer. J. Math. 123 (5) (2001), 811–838. Zbl 1001.18004, MR 1854112, 10.1353/ajm.2001.0033 |
| Reference:
|
[3] Kelly, G. M.: On the operads of J. P. May.Represent. Theory Appl. Categ. (13) (2005), 1–13, electronic. Zbl 1082.18009, MR 2177746 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[7] Pareigis, B.: Non-additive ring and module theory. II. $C$–categories, $C$–functors and $C$–morphisms.Publ. Math. Debrecen 24 (3–4) (1977), 351–361. MR 0498792 |
| Reference:
|
[8] Pareigis, B.: Non-additive ring and module theory. III. Morita equivalences.Publ. Math. Debrecen 25 (1–2) (1978), 177–186. Zbl 0377.16023, MR 0498793 |
| Reference:
|
[9] Rezk, C.: Spaces of algebra structures and cohomology of operads.Ph.D. thesis, MIT, 1996. MR 2716655 |
| Reference:
|
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| . |
