… of maximal length, and X the indecomposable projective module of length 4. Again, we
have dim Hom (X, Y)= 2. Here, any generic map X→ Y is a monomorphism (but such a …

… in terms of their projective modules will be needed later. … artin algebras stably equivalent to
an hereditary algebra, we prove that the endomorphism ring of an indecomposable module is …

… posable projective left modules in … Artin algebras of finite representation type (ie, algebras
with only a finite number of nonisomorphic indecomposable finitely generated left modules…

… DTr(f) = 7' and I is an injective A-module. (ii) If A is not injective and B = ~''4 … projective A-module.
We point out that in the above the projective modules P and & and the injective modules …

… paper, all algebras are artin algebras, all modules are finitely generated left modules, and …
Since L is in Ω(mod ∧), it follows that L ⊂ rQ for some projective module Q. Then L/socL ⊂ rQ/…

… Auslander proved that for Artin algebras thcrc is a one-to-one correspondence … this result
the condition on R and A to bc Artin algebras is unnecessary, and have given a generalization …

… algebras. In particular, we show that all the strongly Gorenstein projective modules over
one-point extensions of a finite-dimensional algebra A by finite-dimensional modules are always …

… Let Λ = EndΓ(P)op, where P is a projective module over an artin algebra Γ with gldimΓ ≤
3. Then findimΛ ≤ ψ((P,Γ)) + 3 where (P,Γ) = HomΓ(P,Γ) is considered as a Λ-module. …

… a given Artin algebra of finite representation type, every module is … of A/sot A; and, if B is
projective, then A is isomorphic to a … injective modules and projective modules are gradable, A is …

… As a first application we see that if A is an artin algebra whose … computing the projective
resolutions of the simple A-modules. … Let A be an artin algebra whose quiver is given by a tree T …