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Computing Zeta Functions of Table Algebra Orders Using Local Zeta Integrals
We investigate Solomon’s zeta function for orders in the special case of orders generated by the standard basis of an integral table algebra, a...
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Lie Algebra of Killing Vector Fields and its Stationary Subalgebra
Let 𝔤 be the Lie algebra of all Killing vector fields on a locally homogeneous, analytic Riemannian manifold M , 𝔥 be a stationary subalgebra of 𝔤, G ...
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The Space of Bounded Operators on a Hilbert Space as Ordered Vector Space
This chapter is a study of the space of bounded operators on any complex Hilbert space as a pedagogical model of C∗-algebra. We explain in particular...
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The Jordan Decomposition in Ordered Normed Spaces
In this paper, we give some conditions over an ordered normed space such that the Jordan decomposition of a vector-valued bounded variation function...
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The Group Algebra
The Group Algebra assigns an algebra to a finite group in two equivalent ways. First, as a vector space, taking the group elements as basis vectors,...
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Category of Some Subalgebras of the Toeplitz Algebra
We perform the structural analysis of C * -subalgebras of the Toeplitz algebra that are generated by inverse subsemigroups of a bicyclic semigroup. We...
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MV-algebras and Partially Cyclically Ordered Groups
We prove that there exists a functorial correspondence between MV-algebras and partially cyclically ordered groups which are the wound-rounds of...
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Topological Ordered Rings and Measures
Given a ring endowed with a ring order, we provide sufficient conditions for the order topology induced by the ring order to become a ring topology...
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The Formal Affine Demazure Algebra and Real Finite Reflection Groups
In this paper, we generalize the formal affine Demazure algebra of Hoffnung-Malagón-López-Savage-Zainoulline to all real finite reflection groups. We...
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Linear Algebra
We will denote the sets of the natural numbers $$\{1,2,\dotsc...
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Prime Radicals of Directed Pseudo-Ordered Rings
Characteristics of partially pseudo-ordered ( K -ordered) rings are considered. Properties of ideals in pseudo-ordered rings are described. A variation...
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Iwahori–Hecke algebra and unramified local L-functions
In this paper, we compute the Hecke action of a certain test function on the space of an unramified principal series of a connected reductive group...
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One-Dimensional Central Measures on Numberings of Ordered Sets
AbstractWe describe one-dimensional central measures on numberings (tableaux) of ideals of partially ordered sets (posets). As the main example, we...
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Fermat and Descartes in Light of Premodern Algebra and Viète
There were two radically different algebras practiced in Europe in the time of Fermat and Descartes. One was the traditional cossic algebra grounded...
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Basics from Universal Algebra
The title of this book is Universal Algebraic Logic. One reading of this title is: (Universal Algebraic) Logic, meaning a stance of algebraic logic...
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Dimensioned Algebra: Mathematics with Physical Quantities
A rigorous mathematical theory of dimensional analysis, systematically accounting for the use of physical quantities in science and engineering,...
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The projection problem in commutative, positively ordered monoids
We examine the problem of projecting subsets of a commutative, positively ordered monoid into an o -ideal. We prove that to this end one may restrict...