Results 61 to 70 of about 3,178 (180)
Nilpotency in endomorphism rings [PDF]
Nil subrings of the endomorphism ring of a module with finite Krull dimension sequence are nilpotent. This includes the case of a module with finite Krull dimension as well as noetherian modules. The method used is to embed the endomorphism ring, modulo a nilpotent ideal, in the endomorphism ring of an artinian object of a Grothendieck category.
openaire +1 more source
Polynomial identities for quivers via incidence algebras
Abstract We show that the path algebra of a quiver satisfies the same polynomial identities (PI) of an algebra of matrices, if any. In particular, the algebra of n×n$n\times n$ matrices is PI‐equivalent to the path algebra of the oriented cycle with n$n$ vertices.
Allan Berele +3 more
wiley +1 more source
Descending Endomorphisms of Some Families of Groups
A descending endomorphism of a group is an endomorphism that induces a corresponding endomorphism in every homomorphic image of the group. Descending endomorphisms of Abelian groups are power maps, and, in particular, those of finite Abelian groups as ...
Madhusudanan, Vinay +2 more
core +1 more source
Polymatroidal tilings and the Chow class of linked projective spaces
Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley +1 more source
Natural endomorphisms of Burnside rings
The Burnside ring B ( G ) \mathcal {B}(G) of a finite group G consists of formal differences of finite G-sets.
Andreas Blass
core +1 more source
Endomorphism spectra of graphs
Consider graphs \(G,H\) and a mapping \(f:V(G) \to V(H)\). Suppose that \(f\) is a homomorphism of \(G\) to \(H\), i.e., that any two vertices \(u,v\) in \(f(V(G))\), for which the sets \(f^{-1} (u)\) and \(f^{-1}(v)\) are joined in \(G\) by at least one edge, are adjacent in \(H\). If also conversely, for any two vertices \(u,v \in f(V(G))\) which are
Michael Böttcher, Ulrich Knauer
openaire +1 more source
Endomorphisms of Finite Symmetric Inverse Semigroups
We describe the endomorphisms of the inverse semigroup of all one-to-one partial transformations of a finite set and count the number of the ...
Schein, Boris M., Teclezghi, Beimnet
core +1 more source
The supersingular endomorphism ring problem given one endomorphism
Given a supersingular elliptic curve E and a non-scalar endomorphism α of E, we prove that the endomorphism ring of E can be computed in classical time about disc(Z[α])^1/4, and in quantum subexponential time, assuming the generalised Riemann hypothesis.
Herlédan Le Merdy, Arthur +1 more
openaire +4 more sources
Endomorphisms of superelliptic jacobians [PDF]
Several typos have been ...
openaire +4 more sources
Extensible endomorphisms of compact groups
We show that the endomorphisms of a compact connected group that extend to endomorphisms of every compact overgroup are precisely the trivial one and the inner automorphisms; this is an analogue, for compact connected groups, of results due to Schupp and
Chirvasitu, Alexandru
core

