COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS Page 1 Glasgow
Math. J. 45 (2003) 21–40. C 2003 Glasgow Mathematical Journal Trust. DOI: 10.1017/S0017089502008959 …

We study the degree of irreducible morphisms in generalized standard convex components
of the Auslander–Reiten quiver of an artin algebra with the property that paths with the same …

We investigate the Galois coverings of piecewise algebras and more particularly their
behaviour under derived equivalences. Under a technical assumption which is satisfied if …

We show that a tame quasi-tilted algebra A (over an algebraically closed field) is simply
connected if and only if its first Hochschild cohomology group (with coefficients in the …

§Ò ¦ª Ö Ù¡×ÚÆ¥Ô430062 ¢ ß; Page 1 第49 第1Ì 数学学§ Vol.49, No.1 2006Ç1月 ACTA
MATHEMATICA SINICA, Chinese Series Jan., 2006 Ë : 0583-1431(2006)01-0059-10 Á : A µ …

It is known that the incidence algebra of a finite poset is not strongly simply connected if and
only if its quiver contains a crown. We give a combinatorial condition on crowns which, if …

We prove that a tame weakly shod algebra A which is not quasi-tilted is simply connected if
and only if the orbit graph of its pip-bounded component is a tree, or if and only if its first …

Given a finite dimensional special biserial algebra A with normed basis we obtain the
dimension formulae of the first Hochschild homology groups of A and the vector space Alt …

Given a finite--dimensional monomial algebra $ A $ we consider the trivial extension $ TA $
and provide formulae, depending on the characteristic of the field, for the dimensions of the …

In this note, we show that a derived tubular algebra is strongly simply connected if and only if
it contains no full convex subcategory which is hereditary of type A˜ m https://s3-euw1-ap-pe …