Bavula, V.V. (2016) The classical left regular left quotient ring of a ring and its semisimplicity criteria. Journal of Algebra and Its Applications, 16 (1750103). ISSN 0219-4988
Abstract
Let R be a ring, CR and ′ CR be the set of regular and left regular elements of R (CR ⊆ ′ CR). Goldie’s Theorem is a semisimplicity criterion for the classical left quotient ring Ql,cl(R) := C −1 R R. Semisimplicity criteria are given for the classical left regular left quotient ring ′Ql,cl(R) := ′ C −1 R R. As a corollary, two new semisimplicity criteria for Ql,cl(R) are obtained (in the spirit of Goldie).
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 World Scientific Publishing. This is an author-produced version of a paper accepted for publication in Journal of Algebra and Its Applications. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Nov 2017 15:16 |
Last Modified: | 29 Nov 2017 15:24 |
Published Version: | https://doi.org/10.1142/S0219498817501031 |
Status: | Published |
Publisher: | World Scientific Publishing |
Refereed: | Yes |
Identification Number: | 10.1142/S0219498817501031 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:124638 |