… dimensional complex vector space E, one measures the length of vectors ξ ∈ E by comparing
ξ with the unit of length … transform is an injective ring homomorphism from the group ring |${…

… of reflexive modules over one dimensional Cohen-Macaulay local … reflexive modules under
flat (or, etale) ring homomorphisms. Note that a flat local homomorphism is faithfully flat, and …

… \) a surjective ring homomorphism such that R has a finite … reflexive R-module to itself, now
viewed as a Q-complex concentrated in degree 0. Now since R has finite projective dimension…

… rings to topological spaces and assigning to continuous maps between topological space
homomorphisms … of integral calculus in higher dimensions and dividing a topological space …

… Xi is totally reflexive is called the Gorenstein dimension of M, and is denoted by G-dimR(M).
Therefore M is totally reflexive if … A diagram of local ring homomorphisms of local rings R → R …

… dimensions and other (classical) homological dimensions are discussed. We also study change
of rings theorems for the w-copure flat dimension … Let φ : R → T be a ring homomorphism …

… finitely presented right module has finite projective dimension. Unlike most … any arbitrary
ring A, every finitely generated (right) A-module is reflexive, ie, … Then the ring homomorphism A …

… Suppose F+ = Q, d is the middle dimension of symmetric space of CG, and Cm satisfies the
… Locally convex topological K-vector spaces of compact type are reflexive. By Hahn-Banach (…

… Fn+1 = 0 but Fi ̸= 0 for all 0 ≤ i ≤ n, then we say that F is finite free resolution of length n. …
complex homomorphism F′⊗S′ S → F. Applying ⊗S K on this complex homomorphism …

… Fact 2.17, parts (i) and (iv), implies that the non-zero reflexive modules over a one-dimensional
Gorenstein local ring are exactly the MCM modules. Thus a Gorenstein local domain …