Koc, Notes on

commutativity of prime rings with generalized derivations, Commun.

In addition, teachers can show that 3 rows of 4 is grouped differently to 4 rows of 3, yet the total is the same--the idea of

commutativity.

The R-weakly

commutativity of type (P) of f and g yields G(f f[x.

In the present paper we concern with the multiplication and

commutativity properties of the Berezin transform in the case of pluriharmonic functions defined on the unit ball B in [C.

The general theorem introduced and proved here clearly eliminates the need to prove any fixed point theorems for specific expansive maps satisfying any of the generalized

commutativity conditions such as weakly commuting, compatibility of type ( A), etc.

Commutativity and being a band or a semilattice are invariant properties of Morita equivalent posemigroups with common (two-sided weak) local units.

The gyrations, which possess their own rich structure, measure the extent to which Einstein addition deviates from

commutativity and associativity as we see from the following identities [1, 11, 12]:

If we follow the real or complex case for defining derivatives, we have two possibilities because of the non

commutativity of the multiplication in H, namely

23)], we can easily verify the

commutativity of the fractional integral operators involved in the composition formulas (2.

1] due to

Commutativity of + (recall that the structure <R, +,.

For example, if alternate representational systems offer clearer, richer explanations of concepts such as equality or

commutativity, or simply if more time is taken to discuss a strategy, understanding and proficiency in math may increase.

The example also shows that the requirement of

commutativity in Theorem 2.