Results 61 to 70 of about 7,960 (211)
Weakly Compact Homomorphisms [PDF]
The authors study weakly compact homomorphisms \(\theta\) from a Banach algebra \(A\) to a Banach algebra \(B\) and prove that under certain conditions on \(A\) and \(B\) the range of \(\theta\) is finite-dimensional and semisimple. It is so when \(A\) is a \(C^*\)-algebra, or when \(A\) is amenable, all irreducible representations of \(B\) are finite ...
Galé, J. E. +2 more
openaire +2 more sources
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
When do pseudo‐Gorenstein rings become Gorenstein?
Abstract We discuss the relationship between the trace ideal of the canonical module and pseudo‐Gorensteinness. In particular, under certain mild assumptions, we show that every positively graded domain that is both pseudo‐Gorenstein and nearly Gorenstein is Gorenstein. As an application, we clarify the relationships among nearly Gorensteinness, almost
Sora Miyashita
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
Residually rationally solvable one‐relator groups
Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley +1 more source
e-Subalgebras and e-Homomorphisms of PGK2-Algebras
This paper is devoted for three main purposes. First, subalgebras, e-subalgebras of a principal generalized K2-algebra (PGK2-algebra), and their associated principal generalized K2-triples are studied. We prove that every GM-subalgebra, GK-subalgebra, De
Abd El-Mohsen Badawy +3 more
doaj +1 more source
Distributive and Dual Distributive Elements in Hyperlattices
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively.
Ameri Reza +3 more
doaj +1 more source
Simple groups with strong fixed‐point properties
Abstract We exhibit finitely generated torsion‐free groups for which any action on any finite‐dimensional CW‐complex with finite Betti numbers has a global fixed point.
Nansen Petrosyan
wiley +1 more source
Associative triples and homomorphisms between travel groupoids on finite geodetic graphs [PDF]
Sergiy Kozerenko, Yur-Liubomysl Dekhtiar
doaj +1 more source
Torsion classes of extended Dynkin quivers over commutative rings
Abstract For a Noetherian R$R$‐algebra Λ$\Lambda$, there is a canonical inclusion torsΛ→∏p∈SpecRtors(κ(p)Λ)$\mathop {\mathsf {tors}}\Lambda \rightarrow \prod _{\mathfrak {p}\in \operatorname{Spec}R}\mathop {\mathsf {tors}}(\kappa (\mathfrak {p})\Lambda)$, and each element in the image satisfies a certain compatibility condition.
Osamu Iyama, Yuta Kimura
wiley +1 more source

