Incidence algebras

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Incidence algebras are algebraic structures that encode combinatorial relationships between sets, particularly in the context of partially ordered sets (posets). They are defined over a field and consist of functions that represent the incidence relations between elements, facilitating the study of combinatorial properties and transformations within the poset framework.

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Hochschild cohomology of incidence algebras as one-point extensions

by María Andrea Gatica

2024, Linear Algebra and its Applications

The aim of this paper is to compute the Hochschild cohomology groups of particular classes of algebras associated to partially ordered sets.

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Tensor Product of Incidence Algebras

by Ahmad Alghamdi

2023, Journal of Advances in Mathematics

The aim of this work is to study the incidence functions and the tensor product of two incidence algebras. We show that the tensor product of two incidence algebras is an incidence algebra. We believe that our result is true for... more

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Hochschild cohomology of incidence algebras as one-point extensions

by Maria Jose Ferrada Gatica

2023, Linear Algebra and its Applications

The aim of this paper is to compute the Hochschild cohomology groups of particular classes of algebras associated to partially ordered sets.

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Incidence algebras

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