Results 71 to 80 of about 1,334,146 (165)
Scissors congruence K$K$‐theory for equivariant manifolds
Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
wiley +1 more source
The log Grothendieck ring of varieties
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
Global aspects of the geometry of surfaces
Several open problems related to the behavior of the monoid of effective divisors and the nef cone for smooth projective surfaces over an algebraically closed field are discussed, motivating and putting into historical context concepts such as Mori dream
Brian Harbourne
doaj
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source
Coxeter's enumeration of Coxeter groups
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley +1 more source
The radical-annihilator monoid of a ring [PDF]
5 ...
openaire +2 more sources
An Approach to Baer Criteria of Injectivity Versus Ideal Injectivity
This paper aims to investigate the Baer‐type criteria for the injectivity of S‐acts. Unlike modules over rings, where the Baer criterion for injectivity is valid, this criterion remains an open problem for acts over semigroups. Every injective S‐act is ideal injective, but the converse does not hold in general.
Hasan Barzegar, Anwar Saleh Alwardi
wiley +1 more source
Discriminants and the monoid of quadratic rings [PDF]
We consider the natural monoid structure on the set of quadratic rings over an arbitrary base scheme and characterize this monoid in terms of discriminants.
openaire +2 more sources
On the arithmetic of stable domains. [PDF]
Bashir A, Geroldinger A, Reinhart A.
europepmc +1 more source
An algorithm for the Quillen-Suslin theorem for monoid rings
Let k be a field, and let M be a commutative, seminormal, finitely generated monoid, which is torsionfree, cancellative, and has no nontrivial units. Gubeladze [8] proved that finitely generated projective modules over kM are free. This paper contains an
R. Laubenbacher, C. Woodburn
semanticscholar +1 more source

