… Employing a result of Hausdorff and Tarski, we show that the X corresponding to 2No
plays an important role in the global dimension of rings where one can find analogues of …

… Since the complex X/NX has zero differentiation, the complexes above coincide with their
homology groups. The result for Ext is proved similarly… We define the global dimension of A9 as …

… By [I, Theorem 1 ] we know that the global dimension as defined above gives the same
number as the definition of global dimension given in [3]. If R is a local ring, then by [3, VIII, 6.2'] …

… taken by the global homological dimension of various classes … We recall [4] that the
homological dimension (dhX) of a left … of it; the global homological dimension of the algebra A is …

… It is possible to obtain almost complete results on the global dimension of Α χ ΦΜ in this
case and we will return to it in Section 3. Before investigating the homological properties of Α …

… global dimension of R> n. By Matlis [10], the answer is no-a Noetherian domain of Krull
dimension … : Let R be a regular local ring of dimension m such that cardinality R = cardinality R/J …

… 0{oo)) has infinite small global dimension. Moreover, we are able to … homological dimension
is infinite. Since the cohomological dimension of a Banach algebra is not less than its global …

… the global homological dimension of D(A) (gl. dim D(A)), equals the dimension of the variety.
… In [S] it is shown that the weak global dimension of D(A) (w-dim. D(A)), equals dim X. As D(A…

… We shall compute the global dimension of D(A) for k of characteristic zero and A smooth …
was based on a careful study of the relation between the homological properties of D(A) and D(B…

… The study of global homological dimension has a major tool in the study of filtered rings …
global homological dimension of a filtered ring is bounded by the global homological dimension …