Results 111 to 120 of about 6,335 (253)
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj +1 more source
On the Computation of Tensor Functions under Tensor‐Tensor Multiplications with Linear Maps
ABSTRACT In this paper, we study the computation of both algebraic and non‐algebraic tensor functions under the tensor‐tensor multiplication with linear maps. In the case of algebraic tensor functions, we prove that the asymptotic exponent of both the tensor‐tensor multiplication and the tensor polynomial evaluation problem under this multiplication is
Jeong‐Hoon Ju, Susana López‐Moreno
wiley +1 more source
In this work, an excitonic many‐body theory for the ultrafast optical response at elevated excitation densities for Wannier–Mott excitons is developed and applied to two distinct materials (GaAs quantum well and MoSe2 monolayer) as proponents of two different Coulomb‐interaction regimes.
Henry Mittenzwey +2 more
wiley +1 more source
A note on co-maximal graphs of commutative rings
Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
doaj +1 more source
ABSTRACT Recent advances at the intersection of quantum physics, neuroscience, and cognitive science have renewed interest in whether quantum phenomena and quantum‐inspired formalisms can inform models of human cognition and decision‐making. While classical neural and computational models explain many aspects of perception and behavior, they face ...
Hamidreza Namazi +3 more
wiley +1 more source
Torsion theories over commutative rings
The definition of an h-local integral domain is generalized to commutative rings. This new definition is in terms of Gabriel topologies; i.e., in terms of hereditary torsion theories over commutative rings. Such commutative rings are characterized by the
Brandal, Willy +3 more
core +1 more source
On Non-Commutative Multi-Rings with Involution
The primary motivation for this work is to develop the concept of Marshall’s quotient applicable to non-commutative multi-rings endowed with involution, expanding upon the main ideas of the classical case—commutative and without involution—presented in ...
Kaique M. A. Roberto +2 more
doaj +1 more source
A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
wiley +1 more source
On the Multiplicative Semigroup of a Commutative Ring [PDF]
This note establishes the theorem that a commutative ring is finite provided its multiplicative semigroup is finitely generated. The author does not know whether the assumption of commutativity is necessary for the truth of the theorem.
openaire +1 more source
Abstract Background and Aims A vast body of theory and research highlights the operation of seriation as a prerequisite to mathematical thinking in young children. However, there is limited evidence that seriation interventions improve early years mathematics.
David Tzuriel, Dikla Hanuka‐Levi
wiley +1 more source

