On Lattice Vector Spaces over a Distributive Lattice

dc.contributor.author	Panjarike, Pallavi
dc.contributor.author	Prasad, Kuncham Syam
dc.contributor.author	Al-Tahan, Madeline
dc.contributor.author	ETAL..
dc.date.accessioned	2024-07-30T06:56:00Z
dc.date.available	2024-07-30T06:56:00Z
dc.date.issued	2024
dc.description.abstract	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
dc.identifier.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.
dc.identifier.doi	https://doi.org/10.1007/978-981-99-6349-2_10
dc.identifier.uri	https://repository.adu.ac.ae/handle/1/6082
dc.language.iso	en
dc.publisher	Springer Link
dc.title	On Lattice Vector Spaces over a Distributive Lattice
dc.type	Conference Paper

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