… In this short note, we point out that the finiteness of the finitistic dimension of an algebra is
also preserved under derived equivalences. Recall that, given a ring A, the finitistic dimension …

… dimensions of algebras linked by recollements of derived … among their finitistic, big finitistic
and global dimensions. This is … finitistic dimensions which include finite global dimensions …

… Next we show that if R is derived equivalent to a ring for which injectives generate, then
injectives generate for R. This follows from the fact that we can characterize the objects of the …

… between finitistic dimensions and restricted flat dimensions (… flat dimension is a useful tool
to describe the finitistic dimension. For example, we obtain that the left little finitistic dimension …

… We define the following finitistic global dimensions for R, using the definitions and
notation of ([1]) and ([3]). IFPD(R) = sup I. dim^M for all i?-modules of finite projective …

… finitistic and others as definitely not finitistic. This guideline, however, does not provide us
with a precise demarcation between those [concept-formations and ways of reasoning] which …

… For instance, finiteness of finitistic dimension [23], Hochschild homology and cohomology
[… derived equivalences for Artin algebras in this paper. A Morita theory for relative derived …

… control the finitistic dimension of eAe. Such a consideration is of particular interest for
understanding the finitistic dimension conjecture. Let us denote the finitistic dimension and global …

… could we say about the finitistic dimension of the other? So our philosophic idea in this note
is to approach a homological conjecture, the finitistic dimension conjecture, without imposing …

… of finite projective dimension, then the finiteness of the finitistic di… We derive some
consequences of this. In particular, we … then the finitistic dimension of Λ is finite if and only if the …