Zobrazeno 1 - 10
of 735
pro vyhledávání: '"ZIMMERMANN, ALEXANDER"'
Autor:
Zimmermann, Alexander
We define and characterise completely dg-separable dg-extensions $\varphi:(A,d_A)\rightarrow (B,d_B)$. We completely characterise the case of graded commutative dg-division algebras in characteristic different from $2$. We prove that for a dg-separab
Externí odkaz:
http://arxiv.org/abs/2412.06526
Autor:
Zimmermann, Alexander
We give the definition of a dg-division algebra, that is a concept of a differential graded algebra which may serve as an analogue of a division algebra. We classify them completely, and show that they are either acyclic or have differential $0$. Fur
Externí odkaz:
http://arxiv.org/abs/2408.05550
Autor:
Zimmermann, Alexander
We study Ore localisation of differential graded algebras. Further we define dg-prime rings, dg-semiprime rings, and study the dg-nil radical of dg-rings. Then, we define dg-essential submodules, dg-uniform dimension, and apply all this to a dg-versi
Externí odkaz:
http://arxiv.org/abs/2311.16619
Autor:
Zimmermann, Alexander
For a Dedekind domain $R$ with field of fractions $K$ a classical $R$-order in a semisimple $K$-algebra $A$ is an $R$-projective $R$-subalgebra $\Lambda$ of $A$ such that $K\Lambda=A$. We study differential graded $K$-algebras which are semisimple as
Externí odkaz:
http://arxiv.org/abs/2310.06340
Autor:
Zimmermann, Alexander
We consider central simple $K$-algebras which happen to bedifferential graded $K$-algebras. Two such algebras $A$ and $B$are considered equivalent if there are bounded complexes of finite dimensional$K$-vector spaces $C_A$ and $C_B$ such that the dif
Externí odkaz:
http://arxiv.org/abs/2308.08980
Autor:
Zimmermann, Alexander
Clifford theory relates the representation theory of finite groups to those of a fixed normal subgroup by means of induction and restriction, which is an adjoint pair of functors. We generalize this result to the situation of a Krull-Schmidt category
Externí odkaz:
http://arxiv.org/abs/2206.09394
