On behalf of a friend, I would like to ask the knowledgeable people on this list about the following problem: Is there a description of the varieties V (or a...
Luis Sequeira
lsequeir@...
Dec 9, 2004 11:09 am
271
... I'm having trouble guessing how you mean "\". Are you asking that x and y in F "be" constants? If so, and if by "constant" you mean the sort of element...
Fred E.J. Linton
flinton@...
Dec 19, 2004 10:32 pm
272
... I think Luis means "x, y in F MINUS the constants". For example, vector spaces are free and have the property that their automorphism groups act...
Hello, Given a total algebra 'S' does there exist a lattice 'L' such that the weak subalgebra lattices are isomorhic ? i.e.$ Su_{w}(S)\,\cong\,Su_{w}(L)$ ...
Can anybody know an example of finite algebra <A;F> satisfying these properties: (i) <A;F> has only three distinct congruences: {<a,a>, a in A}, \theta and ...
Temgoua Alomo Etienne R
rtemgoua@...
Jan 31, 2005 12:38 pm
276
Let's try A = {0,1,2} and operations s(0)=1, s(1)=0, s(2)=2 b(x,y,z) = Pixley(x,y,z) if {x,y,z} is a subset of {0,1}; b(x,y,z)=2 otherwise Now for <A;s,b>, you...
Mckenzie, Ralph N
mckenzie@...
Jan 31, 2005 5:37 pm
277
Dear Ralph McKenzie thank you for the example. is it possible to obtain an example in the case that the algebra <A;F> is minimal(i.e. <A;F> has no subalgebra)...
Temgoua Alomo Etienne R
rtemgoua@...
Feb 1, 2005 1:48 pm
278
... As for a partial algebra, For e.g for an algebra with one operation f, $K=(\underline{K}, f)$ is a weak subalgebra of $S=(\underline{S},f)$, iff...
Can't we just modify my example, to the algebra <A, s, b, 0, 1, 2> with the three constants. Now there are no subalgebras or proper automorphisms. The...
Mckenzie, Ralph N
mckenzie@...
Feb 2, 2005 5:39 am
280
Dear Mckenzie your example solve one part of my problem. Here is my other preoccupation: is it possible to have an example of finite algebra <A;F> satisfying...
Temgoua Alomo Etienne R
rtemgoua@...
Feb 3, 2005 12:49 pm
281
I would like to know whether there are non-abelian groups such that for every pair c,d of elements there exists precisely one solution of c.x = x.x.d Best...
Jiri Adamek
adamek@...
Feb 3, 2005 3:17 pm
282
What about D_8, the dihedral group of order 8? The solution of x^2d = cx is x = d^{-1}c. This is because (xy)^2=(yx)^2 for all x,y in D_8. If there are x,y...
David Stanovsky
stanovsk@...
Feb 3, 2005 4:46 pm
283
... It can be solved uniquely in any 2-step nilpotent group. It is easy to see that any solution is x = c.d^{-1}.z where z is a product of commutators. If the...
David's solution arrived while I was writing, so you didn't need mine. But I had another thought: There is a unique solution in any nilpotent group. Proceed by...
Hi! I'm trying to find out what is currently known about equationally compact lattices. Wenzel states, in his appendix to the 1979 edition of Gratzer's...
You should ask Jan Mycielski (<mycielski@...>) about that problem. I thought it was solved around 1970. --On Tuesday, February 15, 2005 6:45...
Mckenzie, Ralph N
mckenzie@...
Feb 15, 2005 8:52 am
287
Dear Peter, In reply to your query ... , I don't know much about the matter, except a few results, either positive or negative: (1) Closed intervals in...
Friedrich Wehrung
wehrung@...
Feb 15, 2005 10:06 am
288
This is a long shot, but here goes...I'm reading Walter Taylor's 1971 paper "Some constructions of minimum compact algebras", and have a technical question...
Could not the polynomial equation include constants so that \theta(x,x,...) might not reduce to x=x? For example, if \theta(x,y) is x+a=y+b (a and b ...
mth_jws11
mth_jws11@...
Feb 21, 2005 2:19 pm
290
Thanks for the reply. I don't think that the language is augmented with constants for the elements of A, for two reasons: (1) A is assumed to be only *weakly*...
I have a simple characterization of the absolute retracts in a variety of algebras: An algebra A is an absolute retract if and only if it is (i) equationally...
p_ouwehand asked: " I have a simple characterization of the absolute retracts in a variety of algebras: An algebra A is an absolute retract if and only if...
mhebert
mhebert@...
May 15, 2005 5:20 pm
296
These sound like results of Walter Taylor from the early '70's publshed in Algebra Universalis...
Hello, I would like to pursue a research in Mathematics someday. I have a strong interest in mathematics. I also did a project titled 'Generalized study of...
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