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On the structures of quotient groups
(Academic Publications, 5/22/2009)
Let J be the Jacobson radical of a commutative completely primary
finite ring R such that J
k 6= (0) and J
k+1 = (0). Then R/J ∼= GF(p
r
), the
finite field of p
r
elements, and the characteristic of R is p
k where k ≥ 2 ...
The algebra of smooth functions of rapid descent
(2009)
A bounded operator with the spectrum lying in a compact set V ⊂
R, has C∞(V ) functional calculus. On the other hand, an operator H acting on
a Hilbert space H, admits a C(R) functional calculus if H is self-adjoint. So ...