Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/44416
Title: | Graded pseudo-$H$-rings | Authors: | Calderón Martín, Antonio Jesús Díaz Ramos, Antonio Haralampidou, Marina Sánchez Delgado, José María |
Issue Date: | 2015 | Publisher: | Duke University Press | Serial title, monograph or event: | Banach Journal of Mathematical Analysis | Volume: | 9 | Issue: | 2 | Abstract: | Consider a pseudo-H-space E endowed with a separately continuous biadditive associative multiplication which induces a grading on E with respect to an abelian group G. We call such a space a graded pseudo-H-ring and we show that it has the form E = cl(U + \sum_j I_j) with U a closed subspace of E_1 (the summand associated to the unit element in G), and any I_j runs over a well described closed graded ideal of E, satisfying I_jI_k = 0 if j \neq k. We also give a context in which graded simplicity of E is characterized. Moreover, the second Wedderburn-type theorem is given for certain graded pseudo-H-rings. | URI: | https://hdl.handle.net/10316/44416 | DOI: | 10.15352/bjma/09-2-20 10.15352/bjma/09-2-20 |
Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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Artigo3.pdf | 146.12 kB | Adobe PDF | View/Open |
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