… Most of them are either standard or are simple exercises in differential geometry. However,
we … (Observe that in the real domain an Abelian group may have two-dimensional irreducible …

… Gorenstein homological theory and structure of Tate cohomology, we develop a theory of …
of abelian groups with exact rows. The homology exact sequence of the lower row gives the …

… Most of our students go through high school doing hundreds of very difficult exercises
with complicated diagrams in this geometry without asking what is this geometry - perhaps …

… translates into a symmetry condition in non-Abelian gauge theory that gauge … : In Abelian
gauge theory there are no magnetic monopoles. In non-Abelian theory, this absence of Abelian …

… We leave to the reader the exercise of using the equation π∗ν = 0 to show that the 0-cochain
in (49) is Γ0-invariant. This proves that (47) is a coboundary and completes the proof of the …

… Socialism of John Stuart Mill’s Theory of Political Economy ( 2 ) SHINOMIYA Saburo ・The
Cytologial Studies on the Genus Cunninghamella …………………MORIE Kozo …