Involutionen zweiter Art in halbeinfachen Algebren
Involutions and trace forms on exterior powers of a central simple algebra.
Involutions on orders. I.
Inyectividad pura y dimensión débil.
Iperanelli ed ipercorpi
Irreducible binary -bimodules over simple finite-dimensional algebras.
Irreducible morphisms, the Gabriel-valued quiver and colocalizations for coalgebras.
Irreducible representations of quantum matrices.
Isbell duality for modules.
Isobaric QF-rings
Isométries de caractères et équivalences de Morita ou dérivées
Isomorphe Gruppenringe lokal endlicher Gruppen.
Isomorphism of commutative group algebras of -mixed splitting groups over rings of characteristic zero
Suppose is a -mixed splitting abelian group and is a commutative unitary ring of zero characteristic such that the prime number satisfies . Then and are canonically isomorphic -group algebras for any group precisely when and are isomorphic groups. This statement strengthens results due to W. May published in J. Algebra (1976) and to W. Ullery published in Commun. Algebra (1986), Rocky Mt. J. Math. (1992) and Comment. Math. Univ. Carol. (1995).
Isomorphism of Commutative Modular Group Algebras
∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91.Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then KH ∼= KG as K-algebras...
Isomorphism of generalized triangular matrix-rings and recovery of tiles.
Isomorphism of modular group algebras of direct sums of torsion-complete abelian -groups
Isomorphism of noncommutative group algebras of torsion-free groups over a field.
Isomorphisms and automorphisms of integral group rings
Isomorphisms between graded Frobenius algebras constructed from twisted superpotentials
In order to distinguish the connected graded Frobenius algebras determined by different twisted superpotentials, we introduce the nondegeneracy of twisted superpotentials. We give the sufficient and necessary condition for connected graded Frobenius algebras determined by two nondegenerate twisted superpotentials to be isomorphic. As an application, we classify the connected -graded Frobenius algebra of length 3, whose dimension of the degree 1 is 2.
Isomorphisms between representations of algebras.
In this paper we study the precise relation between two representations of a given split finite basic dimensional algebra A as a factor of the free path algebra over its quiver (A). After defining the notion of strongly acyclic quiver, we apply the results obtained to develop a method of calculating the group Aut(A)/Inn(A) in the case when (A) is strongly acyclic.