Product preservation and stable units for reflections into idempotent subvarieties

Relative Compactness and Product Stable Quotient Maps

Marcinkiewicz integrals along subvarieties on product domains

Stein proved that ifΩ∈ Lipα(Sn−1), (0<α≤ 1), then μΩ is bounded on Lp for all 1<p ≤ 2 [18]. Since then, the study of the Lp boundedness of μΩ under various conditions on the function Ω has attracted the attention of many authors ([1, 4, 5, 7, 10, 13], among others). In particular, Chen et al. in [8] studied the Lp boundedness of μΩ under the following condition on the function Ω which was intro...

Tensor-product monotonicity preservation

The preservation of surface shape is important in geometric modelling and approximation theory. In geometric modelling one would like to manipulate the shape of the surface being modelled by the simpler task of manipulating the control points. In scattered data approximation one might wish to approximate bivariate data sampled from a function with a shape property by a spline function sharing t...

relative compactness and product stable quotient maps

SOS Rule Formats for Idempotent Terms and Idempotent Unary Operators

A unary operator f is idempotent if the equation f(x) = f(f(x)) holds. On the other end, an element a of an algebra is said to be an idempotent for a binary operator if a = a a. This paper presents a rule format for Structural Operational Semantics that guarantees that a unary operator be idempotent modulo bisimilarity. The proposed rule format relies on a companion one ensuring that certain te...

Fully idempotent and coidempotent modules

In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann's regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules) and investigate some properties of this class of modules.