Author: J-B Vienney Format: MarkdownItexAdded the remark that we can consider associative unital algebras over semi-rings exactly as over rings.
<a href="https://ncatlab.org/nlab/revision/diff/associative+unital+algebra/33">diff</a>, <a href="https://ncatlab.org/nlab/revision/associative+unital+algebra/33">v33</a>, <a href="https://ncatlab.org/nlab/show/associative+unital+algebra">current</a>
Added the remark that we can consider associative unital algebras over semi-rings exactly as over rings.
Author: Urs Format: MarkdownItexmade minor cosmetic edits to the wording in the list of equivalent definitions [here](https://ncatlab.org/nlab/show/associative+unital+algebra#OverOrdinaryRings) and appended an item pointing to the new entry *[[ring over a ring|$R$-ring]]*
<a href="https://ncatlab.org/nlab/revision/diff/associative+unital+algebra/34">diff</a>, <a href="https://ncatlab.org/nlab/revision/associative+unital+algebra/34">v34</a>, <a href="https://ncatlab.org/nlab/show/associative+unital+algebra">current</a>
made minor cosmetic edits to the wording in the list of equivalent definitions here and appended an item pointing to the new entry $R$-ring