Results 71 to 80 of about 904 (238)
Matrix-Product Codes over Commutative Rings and Constructions Arising from σ,δ-Codes
A well-known lower bound (over finite fields and some special finite commutative rings) on the Hamming distance of a matrix-product code (MPC) is shown to remain valid over any commutative ring R.
Mhammed Boulagouaz, Abdulaziz Deajim
doaj +1 more source
Quadratic Gauss Sums over Finite Commutative Rings
Let \(R\) be finite commutative ring of odd characteristic. Let \(\lambda\) be an additive complex linear character of \(R\) and let \(G(\lambda)=\sum_{r\;\text{ in} R} \lambda(r^2)\) be the quadratic Gauss sum. The author gives an explicit determination of \(G(\lambda)\) by a series of reductions. Since \(G\) is multiplicative when \(R\) is written as
openaire +1 more source
On the Noisy Road to Open Quantum Dynamics: The Place of Stochastic Hamiltonians
Stochastic Hamiltonian formulations of open quantum dynamics are revisited, highlighting their roots in stochastic calculus. The connections among stochastic Hamiltonians, stochastic Schrödinger equations, and master‐equation approaches are made explicit.
Pietro De Checchi +3 more
wiley +1 more source
We propose building a new PKC in a ring structure, the classification of rings being an open problem. The difficulty of the scheme is based on retrieving the eigenvalues of endomorphism on a finite type module over a non-commutative ring. It is resistant
Jean-François Geneste
doaj +1 more source
This paper investigates the application of Finite Control Set Model Predictive Control (FCS‐MPC) for Brushless DC (BLDC) motor speed regulation under dynamic references, including sinusoidal, square, triangular, and sawtooth signals. A novel cost function is introduced to evaluate switching frequency effects, and the influence of different weighting ...
Ahmad Entezari +2 more
wiley +1 more source
Subrings of Finite Commutative Rings
We establish basic results on subrings of finite commutative rings and closely related rings. Among other applications we calculate the number of maximal subrings of a finite commutative local ring.
openaire +2 more sources
Extended total graph associated to finite commutative rings
UDC 512.5 For a commutative ring R with nonzero identity 1 ≠ 0 , let Z ( R ) denote the set of zero divisors. The total graph of R denoted by T Γ ( R ) is a simple graph in which all elements of R are vertices and any two distinct vertices x and y are adjacent if and only if x ...
Altaf, Aaqib +3 more
openaire +1 more source
Hybrid Deference, Hybrid Chance
ABSTRACT If you learn about one kind of chance and nothing else, then you should defer to those chances. But what if you learn about more than one kind of chance? In such “hybrid” cases, familiar chance‐credence principles, like the Principal Principle, go silent when they should intuitively speak.
Alexander Meehan
wiley +1 more source
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

