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On Kähler differentials of divided power algebras
The Quillen–Barr–Beck cohomology of augmented algebras with a system of divided powers is defined as the derived functor of Beck derivations. The...
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Quaternion algebras and square power classes over biquadratic extensions
Recently the Galois module structure of square power classes of a field K has been computed under the action of Gal ( K/F ) in the case where Gal( K/F )...
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Banach Algebras
This chapter is an introduction to Banach algebras as an axiomatic approach to the spaces of continuous linear operators on Banach spaces. Their...
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Banach algebras
In this chapter, we shall introduce Banach algebras and recall their basic properties. General Banach algebras are considered in...
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Banach function algebras
In this chapter, we shall concentrate on commutative Banach algebras, especially on commutative, semisimple Banach algebras, identified with Banach...
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On String Algebras and the Cohen–Macaulay Auslander Algebras
The Cohen–Macaulay Auslander algebra of an algebra A is defined as the endomorphism algebra of the direct sum of all indecomposable Gorenstein...
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Algebraic Entropy of Path Algebras and Leavitt Path Algebras of Finite Graphs
The Gelfand–Kirillov dimension is a well established quantity to classify the growth of infinite dimensional algebras. In this article we introduce...
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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 generalization of Cayley–Hamilton algebras and an introduction to their geometries
Let A and B be graded algebras in the same variety of trace algebras, such that A is a finite-dimensional, central simple power associative algebra...
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\(C^*\) -Algebras
\(C^*\) -algebras are to Banach algebras what Hilbert spaces...
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Elduque-Myung Type Mutations of Hom-algebras
Elduque-Myung type mutations of general, possibly non-associative, algebras and of several classes of Hom-algebras are explored. Several extensions...
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Banach algebras on locally compact groups
In this chapter, we shall consider the classical Banach algebras of harmonic analysis that are associated with a locally compact group G. The class...
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Homotopy prefactorization algebras
We apply the theory of operadic Koszul duality to provide a cofibrant resolution of the colored operad whose algebras are prefactorization algebras...
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Products of Commutator Ideals of Some Lie-admissible Algebras
In this article, we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras, bicommutative algebras, and...
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Hom–Jordan–Malcev–Poisson Algebras
We provide and study a Hom-type generalization of Jordan–Malcev–Poisson algebras called Hom–Jordan–Malcev–Poisson algebras. We show that they are...
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Cells in affine q-Schur algebras
We develop algebraic and geometrical approaches toward canonical bases for affine q -Schur algebras of arbitrary type introduced in this paper. A...
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Dimer Algebras, Ghor Algebras, and Cyclic Contractions
A ghor algebra is the path algebra of a dimer quiver on a surface, modulo relations that come from the perfect matchings of its quiver. Such algebras...
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Esakia duals of regular Heyting algebras
We investigate in this article regular Heyting algebras by means of Esakia duality. In particular, we give a characterisation of Esakia spaces dual...
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Hilbert evolution algebras, weighted digraphs, and nilpotency
Hilbert evolution algebras generalize evolution algebras through a framework of Hilbert spaces. In this work we focus on infinite-dimensional Hilbert...
