Δ-Rings

(θ, Δ)-codes with Skew Polynomial Rings

In this paper we generalize coding theory of cyclic codes over finite fields to skew polynomial rings over finite rings. Codes that are principal ideals in quotient rings of skew polynomial rings by two sided ideals are studied. Next we consider skew codes of endomorphism type and derivation type. And we give some examples.

Mathematical Aspects of (θ, δ)-Codes with Skew Polynomial Rings

In this paper we generalize coding theory of cyclic codes over finite fields to skew polynomial rings over finite rings. Codes that are principal ideals in quotient rings of skew polynomial rings by two sided ideals are studied. Next we consider skew codes of endomorphism type and derivation type. And we give some examples. Mathematics Subject Classification: Primary 94B60; Secondary 94B15, 16D25

Dirichlet Heat Kernel Estimates for Δ +δ

For d ≥ 1 and 0 < β < α < 2, consider a family of pseudo differential operators {Δ + aΔ; a ∈ [0,1]} on R that evolves continuously from Δ to Δ + Δ. It gives arise to a family of Lévy processes {X, a ∈ [0,1]} on R, where each X is the independent sum of a symmetric α-stable process and a symmetric β-stable process with weight a. For any C open set D ⊂R, we establish explicit sharp two-sided esti...

Detecting Omnivory with Δ Δ 15 N

is no unambiguous evidence that plumicolous feather mites chew holes in feathers; such damage is usually caused by feather lice. Also, it has been reported that feather mites of the great-spotted woodpecker (Dryobates major) and the hoopoe (Upupa epops) avoid white spots on the feathers and instead aggregate on melanized areas 5. Thus, as we stressed in our review 3 , extrapolating from lice to...

δ-Small Submodules and δ-Supplemented Modules