Results 11 to 20 of about 3,722 (78)
Semilattices of finitely generated ideals of exchange rings with finite stable rank
We find a distributive (v, 0, 1)-semilattice S of size $ aleph\_1$ that is not isomorphic to the maximal semilattice quotient of any Riesz monoid endowed with an order-unit of finite stable rank.
Wehrung, Friedrich
core +5 more sources
A quasi‐periodic Dart‐Kite (QDK) metastructure with a golden‐ratio‐constrained strong–weak bond network simultaneously enhances strength, toughness, and damage tolerance. Its distributed topology enables predictable, tailorable crack paths for precise fracture control and stable mechanics, demonstrating a high‐performance, controllable architecture ...
Tianyu Gao +3 more
wiley +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
Distribution of integer points on determinant surfaces and a mod‐p analogue
Abstract We establish an asymptotic formula for counting integer solutions with smooth weights to an equation of the form xy−zw=r$xy-zw=r$, where r$r$ is a non‐zero integer, with an explicit main term and a strong bound on the error term in terms of the size of the variables x,y,z,w$x, y, z, w$ as well as of r$r$.
Satadal Ganguly, Rachita Guria
wiley +1 more source
Quivers of monoids with basic algebras
We compute the quiver of any monoid that has a basic algebra over an algebraically closed field of characteristic zero. More generally, we reduce the computation of the quiver over a splitting field of a class of monoids that we term rectangular monoids (
Aguiar +27 more
core +1 more source
Biases towards the zero residue class for quadratic forms in arithmetic progressions
Abstract We prove a bias towards the zero residue class in the distribution of the integers represented by binary quadratic forms. In most cases, we prove that the bias comes from a secondary term in an associated asymptotic expansion. This is unlike Chebyshev's bias, which exists somewhere at the level of O(x1/2+ε)$O(x^{1/2+\varepsilon })$.
Jeremy Schlitt
wiley +1 more source
A note on finite lattices with many congruences [PDF]
By a twenty year old result of Ralph Freese, an $n$-element lattice $L$ has at most $2^{n-1}$ congruences. We prove that if $L$ has less than $2^{n-1}$ congruences, then it has at most $2^{n-2}$ congruences.
Czédli, Gábor
core +1 more source
Selective growth protocols are established to obtain high‐quality bulk single crystals of the 2H and 3R polytypes of the vdW polar insulator α‐In2Se3, together with rapid, non‐destructive phase‐identification methods. Combined optical transmission and absolute reflectivity measurements, supported by DFT calculations, reveal distinct polytype‐dependent ...
Ryoga Murata, Takao Sasagawa
wiley +1 more source
A survey of recent results on congruence lattices of lattices [PDF]
We review recent results on congruence lattices of (infinite) lattices. We discuss results obtained with box products, as well as categorical, ring-theoretical, and topological ...
Tuma, Jiri, Wehrung, Friedrich
core
Linear representations of regular rings and complemented modular lattices with involution
Faithful representations of regular $\ast$-rings and modular complemented lattices with involution within orthosymmetric sesquilinear spaces are studied within the framework of Universal Algebra.
Herrmann, Christian, Semenova, Marina
core +1 more source

