Tits endomorphisms and buildings of type
The fixed point building of a polarity of a Moufang quadrangle of type F 4 is a Moufang set, as is the fixed point building of a semi-linear automorphism of order 2 of a Moufang octagon that stabilizes at least two panels of one type but none of the other.
Tom De Medts +2 more
openalex +5 more sources
The Endomorphism Type of Certain Bipartite Graphs and a Characterization of Projective Planes [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ralf Köhl +2 more
openalex +3 more sources
Skew product Smale endomorphisms over countable shifts of finite type [PDF]
We introduce and study skew product Smale endomorphisms over finitely irreducible shifts with countable alphabets. This case is different from the one with finite alphabets and we develop new methods. In the conformal context we prove that almost all conditional measures of equilibrium states of summable Hölder continuous potentials are exact ...
EUGEN MIHAILESCU, MARIUSZ URBAŃSKI
openalex +5 more sources
Endomorphism algebras of peak $I$-spaces over posets of infinite prinjective type [PDF]
Let \(R\) be a commutative ring with an identity element and let \(I\) be a finite poset (i.e. partially ordered set) with the partial order \(\preceq\). Following the reviewer's paper [J. Pure Appl. Algebra 90, No. 1, 77-103 (1993; Zbl 0815.16006)] the authors define the category \(P(I,R)\) of peak \(I\)-spaces over the ring \(R\) to be the category ...
Rüdiger Göbel, Warren May
openalex +3 more sources
Type II$_1$ factors with arbitrary countable endomorphism group [PDF]
In \cite{Ioana:vNsuperrigidity}, Ioana introduced three new invariants of type II$_1$ factors: the one-sided fundamental group, the endomorphism semigroup and the set of right-finite bimodules. In \cite{Ioana:vNsuperrigidity}, he does not provide many computations of these invariants.
Steven Deprez
openalex +3 more sources
Cuntz-Krieger algebras and endomorphisms of finite direct sums of type I$_{\infty }$ factors [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berndt Brenken
openalex +3 more sources
Endomorphism algebras of exceptional sequences over path algebras of type $\widetilde{\sym A}_{n}$ [PDF]
Let \(Q\) be a quiver of type \(\widetilde A_n\) which is not an oriented cycle and let \(A\) be the path algebra \(kQ\) of \(Q\) with the coefficients in a commutative field \(k\). The article is devoted to investigate the endomorphism algebras of modules of the form \(\bigoplus_{i=1}^rE_i\), where \((E_1,\ldots,E_r)\) is an exceptional sequence of ...
Ibrahim Assem, Yingbo Zhang
openalex +3 more sources
Endomorphism semirings with zero of a finite semilattice of a special type [PDF]
We investigate endomorphism semirings of a finite semilattice with one least element and one greatest element such that all the other elements form an antichain. We construct some new finite simple semirings. Keywords: endomorphism semiring, additively idempotent semiring, simple semiring, idempotent endomorphism, finite semilattice.
Ivan Trendafilov
openalex +3 more sources
An Index Theory for Semigroups of *-Endomorphisms of and Type II1 Factors. [PDF]
AbstractAny unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-
Robert T. Powers
openalex +3 more sources
On endomorphism algebras of $\textup{GL}_{2}$-type abelian varieties and Diophantine applications
Let f and g be two different newforms without complex multiplication having the same coefficient field.
Franco Golfieri Madriaga +2 more
openalex +3 more sources

