Using exponents with two distinct product operations




What would be a good way to distinguish exponents within an
algebra that has two kinds of multiplication?

eg. given two product operations x and *

I'd like to be able to rewrite this

E x E + E * E

as something like this

2 2
E + E

but obviously the use of the exponents needs to distinguish which kind of
multiplication is being applied.

One approach would be to place the appropriate mutliplication symbol after
the exponent, as in

2x 2*
E + E

But are there any pre-existing notational idioms for handling this sort of
thing?

Thanks in advance.
Lee

.



Relevant Pages

  • Re: -- explorer le fourier --
    ... with S the semigroup of exponents ... and R the ring of coefficients ... In algebra there is ... was a generalisation of serre's question: ...
    (sci.math)
  • Re: "dimensional analysis"?
    ... the exponents to be at least rationals. ... The implementations in programming languages of all number ... they don't form an algebra. ...
    (alt.usage.english)
  • Re: root equations
    ... can always transformed into an algebraic/polynomial equation by ... i.e. only even numbered exponents of a, b, c occur. ... Several algebra books ... Conjugating x in all possible ways and multiplying, we find that the result is ...
    (sci.math.research)
  • Re: Showing that every element has a particular form in a group presentation
    ... which you sort of note below. ... Since there are only two generators, ... where the a's and b's alternate (since we can always collect like powers of a and b anyway)? ... the exponents. ...
    (sci.math)
  • Re: Proof of the abc conjecture on the arXiv
    ... Sort of. ... It implied FLT for large enough ... exponents. ... "large enough" reallt is. ...
    (sci.math)