TY - JOUR ID - 785 TI - The structure of a pair of nilpotent Lie algebras JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Arabyani, Homayoon AU - Fadravi, Hadi Hosseini AD - Islamic Azad University Y1 - 2015 PY - 2015 VL - 2 IS - 2 SP - 37 EP - 47 KW - Nilpotent Lie algebra KW - Pair of Lie algebras KW - Schur multiplier DO - N2 - Assume that $(N,L)$, is a pair of finite dimensional nilpotent Lie algebras, in which $L$ is non-abelian and $N$ is an ideal in $L$ and also $\mathcal{M}(N,L)$ is the Schur multiplier of the pair $(N,L)$. Motivated by characterization of the pairs $(N,L)$ of finite dimensional nilpotent Lie algebras by their Schur multipliers (Arabyani, et al. 2014) we prove some properties of a pair of nilpotent Lie algebras and generalize results for a pair of non-abelian nilpotent Lie algebras. UR - https://as.yazd.ac.ir/article_785.html L1 - https://as.yazd.ac.ir/article_785_f8abf078bb44933f3c1b0a1d39b66275.pdf ER -