… family of (finitistic) global dimensions; we describe each by specifying the type of dimension
and the modules … Then in ?2 we prove a theorem which includes the implications (1)X=*(…

… In the final Appendix D, we discuss two further invariants of a simple module S which are
related to the finitistic dimension, and which are considered by Gélinas, namely grade S as well …

… the finitistic dimensions of artin algebras by establishing a relationship between the global
dimensions of … 3.7, we consider the pullback of two algebras of global dimension at most four. …

… finitistic dimension of eAe. Such a consideration is of particular interest for understanding the
finitistic dimension … Now we illustrate the main results in the paper by two simple examples. …

… -simple with minimum condition (semi-simple), and the other is a ring with minimum condition
on left ideals (left Artinian ring). We define the following finitistic global dimensions … In § 2 …

… Finitistic Dimension Conjecture holds for the categories of filtered modules for stratifying
systems with one or two (… the following two conjectures which are weaker than the finitistic one. …

… We conclude by remarking that we were initially optimistic that the sorts of methods used
in Section 2 would handle the finitistic dimension conjecture in general. In the general case …

… on finitistic dimensions, namely, we study questions of the following type: suppose two artin
… If one of them is representation-finite, what could we say about the finitistic dimension of the …

… dimension of Y is finite, we prove that the finitistic dimension of the algebra Λ is equal to the
… bound 2 n - 2 for the finitistic dimension of a standardly stratified algebra with n simples. …

… As far as I know Hilbert never considers in writing the obvious fact that the clarity of our
intuitive grasp of strings weakens as the size and complexity of the strings increase10 and he …