On Lattice Vector Spaces over a Distributive Lattice

Panjarike, Pallavi; Prasad, Kuncham Syam; Al-Tahan, Madeline; ETAL..

doi:https://doi.org/10.1007/978-981-99-6349-2_10

On Lattice Vector Spaces over a Distributive Lattice

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2024

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https://doi.org/10.1007/978-981-99-6349-2_10

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In this paper, we show a homomorphism between lattices that induces a lattice vector space over a distributive lattice. The notion of congruence relation on lattice vector space is introduced to study the quotient spaces. We obtain a corre-spondence between the set of matrices over distributive lattices and the set of linear transformations. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023. Keywords: Distributive lattices, Lattice matrices, Lattice vector space

Citation

Panjarike, P., Syam Prasad, K., Al-Tahan, M., Bhatta, V., & Panackal, H. (2022, May). On Lattice Vector Spaces over a Distributive Lattice. In International Conference on Semigroups, Algebras, and Operator Theory (pp. 173-183). Singapore: Springer Nature Singapore.

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On Lattice Vector Spaces over a Distributive Lattice

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