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On a Problem of Conrad on Riesz Space Structures
This paper is concerned with Riesz space structures on a lattice ordered abelian group, continuing a line of research conducted by the author and the...
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Standard Elements of the Lattice of Monoid Varieties
Standard elements of the lattice of all monoid varieties are described. In particular, it is shown that in this lattice, the property of being a...
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Generalized Stability of the Class of Injective S-Acts
The concept of P-stability is a particular case of generalized stability of complete theories. We study injective S -acts with a P -stable theory. It...
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Partial metrics and normed inverse semigroups
Relying on the notions of submodular function and partial metric, we introduce normed inverse semigroups as a generalization of normed groups and...
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Appendix
This last chapter is an appendix gathering various well-known mathematical results (basic and specific) that are important for a clear understanding... -
Congruence-Permutable \( S \)-Acts
An algebra is congruence-permutable if its congruences commute under composition. Many familiar varieties of algebras, such as the variety of groups,...
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Sub-Hardy-Hilbert Spaces in the Non-commutative Unit Row Ball
In the classical Hardy space theory of square-summable Taylor series in the complex unit disk, there is a circle of ideas connecting Szegö’s theorem,... -
On a general approach to some problems of approximation of operators
A general scheme for solving some approximation problems under a rather general setting has been proposed. The application of the proposed scheme is...
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Primitive Normality and Primitive Connectedness of the Class of Injective S-Acts
The paper deals monoids over which the class of all injective S -acts is primitive normal and primitive connected. The following results are proved:...
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Completeness and Stability of the Class of Injective S-Acts
We deal with questions concerning the completeness and stability of a class of injective acts and a class of weakly injective acts over a monoid S....
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Mathematical Reflections on Locality
Starting from the principle of locality in quantum field theory, which states that an object is influenced directly only by its immediate...
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On extremal domains and codomains for convolution of distributions and fractional calculus
It is proved that the class of c-closed distribution spaces contains extremal domains and codomains to make convolution of distributions a...
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Order integrals
We define an integral of real-valued functions with respect to a measure that takes its values in the extended positive cone of a partially ordered...
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Spectral MV-algebras and equispectrality
In this paper we study the set of MV-algebras with given prime spectrum and we introduce the class of spectral MV-algebras. An MV-algebra is spectral...
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A Brief Introduction to Noncommutative Function Theory
This survey provides a very brief introduction to the notion of a noncommutative function, with a particular emphasis on those parts of the theory...