相关论文: On finite type epimorphisms of rings

In this note, we prove that there exist infinite dimensional excellent rings.

The endomorphism ring End(A) of an abelian variety A is an order in a semi-simple algebra over Q. The co-index of End(A) is the index to a maximal order containing it. We show that for abelian varieties of fixed dimension over any…

We propose and develop a theory that allows to characterize epimorphisms of profinite groups in terms of indecomposable epimorphisms.

We study etale extensions of rings that have FIP.

This is an overview article on finite type invariants, written for the Encyclopedia of Mathematical Physics

We study endomorphism rings of principally polarized abelian surfaces over finite fields from a computational viewpoint with a focus on exhaustiveness. In particular, we address the cases of non-ordinary and non-simple varieties. For each…

We relate the endomorphism rings of certain $D$-elliptic sheaves of finite characteristic to hereditary orders in central division algebras over function fields.

We characterize Gorenstein modules over those local rings that admit a finite contracting endomorphism.

We define a new finite type invariant for stably homeomorphic class of curves on compact oriented surfaces without boundaries and extend to a regular homotopy invariant for spherical curves.

A ringed finite space is a ringed space whose underlying topological space is finite. The category of ringed finite spaces contains, fully faithfully, the category of finite topological spaces and the category of affine schemes. Any ringed…

The goal of this paper is to provide some basic structure information on derivations in finite semirings.

We give sufficient conditions to find all subtypes isomorphic to a subtype in a finite generalized ordered type.

In this paper we study the number of finite topologies on an $n$-element set subject to various restrictions.

We study automorphisms of the affine line over rings like ZZ/p^n.

In this paper, we compute the number of distinct centralizers of some classes of finite rings. We then characterize all finite rings with $n$ distinct centralizers for any positive integer $n \leq 5$. Further we give some connections…

We consider embeddings of a finite complex in a sphere. We give a homotopy theoretic classification of such embeddings in a wide range.

We extend the notion of type sequence to rings that are not necessarily residually rational. Using this invariant we characterize different types of rings as almost Gorenstein rings and rings of maximal length.

These notes collect results about algebraic correspondences and adapt them to the setting of correspondences on projective lines. The focus lies on finite orbits of algebraic correspondences. The main result is a field theoretic…

This paper is devoted to a discussion of specific properties of invariants in the theory of forms.

The existence of ring-like structures in exact hopfion solutions is shown.