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Logical Diagrams, Visualization Criteria, and Boolean Algebras
This paper considers logical diagrams as a method for visualizing information concerning logical/linguistic/conceptual systems. I introduce four...
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String and Band Complexes Over String Almost Gentle Algebras
We give a combinatorial description of a family of indecomposable objects in the bounded derived categories of two new classes of algebras: string...
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Involutions of the Second Kind on Finitary Incidence Algebras
Let K be a field and X a connected partially ordered set. In the first part of this paper, we show that the finitary incidence algebra FI ( X , K ) of X ...
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Boolean Algebras and Applications
Boolean Algebra was discovered by an English mathematician George Boole (1815–1864). His classic, “An Investigation of the closely related area of...
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Lattice of dominant weights of affine Kac–Moody algebras
The dual space of the Cartan subalgebra in a Kac–Moody algebra has a partial ordering defined by the rule that two elements are related if and only...
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Iwasawa Algebras
In this chapter, we define the Iwasawa algebra of a profinite group and study its properties.
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On Hilbert algebras generated by the order
In this paper we study the variety of order Hilbert algebras, which is the equivalent algebraic semantics of the order implicational calculus of Bull...
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LATTICE VERTEX ALGEBRAS AND LOOP GRASSMANNIANS
For an integral symmetric matrix κ we construct a new “nonabelian homology localization” of the lattice vertex algebra
L κ on the corresponding loop... -
Joins and meets in effect algebras
It is known that every effect algebra can be represented as the effect algebra of perspectivity classes of some E -test space. We describe when there...
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Boolean Algebras
The theory of Boolean algebras was founded in 1847 by Boole, who considered it a form of ‘calculus’ adequate for the study of logic. Apart from the...
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Correction to: Injective hulls for ordered algebras
We show that Lemma 4.4 and Theorem 4.5 in [Zhang, X., Laan, V., Injective hulls for ordered algebras, Algebra Universalis, 76 (2016), 339–349] are...
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From the Lattice of Torsion Classes to the Posets of Wide Subcategories and ICE-closed Subcategories
In this paper, we compute the posets of wide subcategories and ICE-closed subcategories from the lattice of torsion classes in an abelian length...
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On Wild Algebras and Super-Decomposable Pure-Injective Modules
Assume that k is an algebraically closed field and A is a finite-dimensional wild k -algebra. Recently, L. Gregory and M. Prest proved that in this...
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Ultrafilter selection and Corson compacta
We study the question which Boolean algebras have the property that for every generating set there is an ultrafilter selecting maximal number of its...
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Pattern Hopf Algebras
In this paper, we expand on the notion of combinatorial presheaf , first introduced explicitly by Aguiar and Mahajan in 2010 but already present in...
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Positive Jantzen sum formulas for cyclotomic Hecke algebras
This paper proves a “positive” Jantzen sum formula for the Specht modules of the cyclotomic Hecke algebras of type A and uses it to obtain new bounds...
