Talk:Band (algebra)

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[edit] Proposed merger

Since this article and Rectangular band are stubs, and since Left-zero band and Right-zero band don't even exist yet, I propose merging them all into here. A brief section would describe the two types of zero bands, and another section would incorporate the current contents of Rectangular band, as well as describe in a bit more detail why rectangular bands are direct products of left-zero and right-zero bands. The usual redirects will be set up. Also, the examples section of Semigroup, which mentions bands in two separate spots, would be appropriately adjusted.

I suspect this proposal isn't controversial, and I would have simply been been bold, but better safe than sorry. --Michael Kinyon 16:14, 31 July 2006 (UTC)

I'll go ahead and do it. Pascal.Tesson 16:17, 28 August 2006 (UTC)

Oh, OK. Thanks! Seeing that a month is plenty of time for comments, I was going to get to it next week. You just saved me some work! :-) Michael Kinyon 20:55, 28 August 2006 (UTC)

Nice work so far, Pascal. Where do normal bands, i.e., those satisfying xyzx = xzyx, fit into the lattice? (I am not a semigroup theorist, and apologize if this is basic stuff.) Michael Kinyon 07:18, 29 August 2006 (UTC)