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Topic: an easy question?
Replies: 0

 robby roiter Posts: 21 Registered: 12/12/04
an easy question?
Posted: Jul 11, 1996 3:08 AM

Let's say you have a direct sum of n copies of Z12, i.e.,
Z12_1 + Z12_2... + Z12_n, whose elements are n-tuples of the
form: Y_1=(y_1,y_2,...y_n)
Note '_' means subscript. Is there a special name/notation for a set/
cycle of twelve n-tuples generated by evaluating:
Y_q+1=([y_1]+q, y_2,...y_n), where q ranges from 0 to 12,
& '+' is now addition mod12 ; in other words, one entry in the n-tuple
varys through all possible values while the others stay constant.
Please forgive any awkward notation...I'm a musician working on
mathematizing a model I've been developing in pitch class theory.
Thanks a bundle...or should I say fibre bundle?---Robby Roiter
P.S. Are there any decent basic discrete math educational free resources
on the net or do I have to get a book?