Hi @Lynn Brown ,
Contributor users are not able to rename items in SharePoint if the Delete permission level is removed from the Contributors group. This behavior is by design.
Please check this article: https://support.microsoft.com/en-us/topic/dc4330c0-c1bd-59bd-ba4f-c1c0049809bb
With a standard Contribute level sans Delete, the permissions mask isn't going to match what SharePoint is requesting to rename an item (0x28 or DeleteListItems + OpenItems). This is identical to what would occur on a file system over CIFS or local (NTFS); the operation is not a 'rename', but rather a move operation. A move, of course, requires the ability to delete the source file once the move has been confirmed.
There isn't any default option to do this in SharePoint. Need to do it via developed method: add javaScript to observe DOM changes in master page to remove delete option for (document, folder, workflow, etc.).For more detail information, please refer to:https://techcommunity.microsoft.com/t5/sharepoint/why-delete-permission-is-required-to-rename-a-document-in-sp/m-p/45902
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