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Type: | Artigo |
Title: | Action of pontryagin dual of semilattices on graded algebras |
Author: | Centrone, Lucio |
Abstract: | Let A be a ℂ-algebra and G be a finite abelian group. Then a G-graded algebra is merely a G-algebra and viceversa because of the fact that G and its group of characters are isomorphic. This fact is no longer true if we substitute G with infinite or non-abelian groups. In this paper we try to obtain similar results for a special class of abelian monoids, i.e., the bounded semilattices. Moreover, if S is such a monoid, we are going to investigate the role of S and its Pontryagin dual over the algebra A, in the case A is S-graded. © 2014 Copyright Taylor & Francis Group, LLC. Let A be a ℂ-algebra and G be a finite abelian group. Then a G-graded algebra is merely a G-algebra and viceversa because of the fact that G and its group of characters are isomorphic. This fact is no longer true if we substitute G with infinite or non-ab |
Subject: | Álgebras graduadas Grupos abelianos Monóide |
Country: | Estados Unidos |
Editor: | Taylor & Francis |
Citation: | Communications In Algebra. , v. 42, n. 8, p. 3491 - 3506, 2014. |
Rights: | fechado fechado |
Identifier DOI: | 10.1080/00927872.2013.786945 |
Address: | https://www.tandfonline.com/doi/full/10.1080/00927872.2013.786945 |
Date Issue: | 2014 |
Appears in Collections: | IMECC - Artigos e Outros Documentos |
Files in This Item:
File | Size | Format | |
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2-s2.0-84898733060.pdf | 232.23 kB | Adobe PDF | View/Open |
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