TY - GEN

T1 - On Lattice Vector Spaces over a Distributive Lattice

AU - Panjarike, Pallavi

AU - Syam Prasad, Kuncham

AU - Al-Tahan, Madeline

AU - Bhatta, Vadiraja

AU - Panackal, Harikrishnan

N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023.

PY - 2024/2/1

Y1 - 2024/2/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85188879752&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85188879752&partnerID=8YFLogxK

U2 - 10.1007/978-981-99-6349-2_10

DO - 10.1007/978-981-99-6349-2_10

M3 - Conference contribution

AN - SCOPUS:85188879752

SN - 9789819963485

T3 - Springer Proceedings in Mathematics and Statistics

SP - 173

EP - 183

BT - Semigroups, Algebras and Operator Theory - ICSAOT 2022

A2 - Ambily, A.A.

A2 - Kiran Kumar, V.B.

PB - Springer

T2 - International Conference on Semigroup, Algebras, and Operator Theory, ICSAOT 2022

Y2 - 28 March 2022 through 31 March 2022

ER -