This has all been discussed before, see I'm confused about ohms law.
The bottom line is that what the term Ohm's Law means is a matter of semantics. If you want to confirm to the definition you will find in the mainstream literature then it only relates to materials that have a linear relationship between current and voltage. See, for example:
"Georg Simon Ohm and Ohm's Law" by Gupta, Madhu Sudan
IEEE Transactions on Education, vol. 23, issue 3, pp. 156-162
from which I quote:
What is Ohm's Law?
In modem teminology, Ohm's law states that the current I flowing through a conductor is proportional to the voltage V applied across it:
I = V/R.
VI. OHM'S LAW IN RETROSPECT
The term "law" has been used in the sciences for a variety of
types of results: from exact laws (like Coulomb's inverse
square law in electrostatics) that are at present considered
fundamental laws of nature, to approximate empirical relationships
(like Boyle's law for gases) that apply under idealized
conditions or over a limited range of parameter values. Ohm's
law is also an empirical relationship, but it is applicable in a
remarkably wide range of situations. If the qualifier "under
isothermal condition" is added to the law, it is experimentally
verifiable for metals from pA/cm2 to gA/cm2 [23], although
some conflicting evidence is also available [24]. It is also possible
to generalize Ohm's law to include the effect of temperature
rise caused by current flow; the resulting current-voltage
relationship then depends on the postulated mechanisms for
heat loss and is nonlinear [251. There are very few (for example,
some biological) materials to which the law is not usefully
applied.
You can, of course, define it to be whatever you like, but if you want to be understood by engineers and physicists then you need to restrict it to V=IR where R is a function of temperature (not voltage). Just because you found something on a web page doesn't make it generally accepted or true, you need to look at the source of the information or if it has been reviewed by people you trust.
The introduction of small signal resistances is completely spurious, as mentioned in the previous thread.
Ohm did not suddenly realise that you can divide V by I and get something called R that you can define everywhere, he discovered that in the conductors that he tested, that V and I were linearily related.
