Non-abelian tensor and exterior products of multiplicative Lie rings

被引：7

作者：

Donadze, Guram ^{[1
]}

Inassaridze, Nick ^{[2
,3
,4
]}

Ladra, Manuel ^{[5
]}

机构：

[1] Indian Inst Sci Educ & Res Thiruvananthapuram, Thiruvananthapuram 695016, Kerala, India

[2] Tbilisi State Univ, A Razmadze Math Inst, Tamarashvili Str 6, Tbilisi 0177, Georgia

[3] Georgian Tech Univ, Kostava Str 77, Tbilisi 0175, Georgia

[4] Tbilisi Ctr Math Sci, Tbilisi, Georgia

[5] Univ Santiago de Compostela, IMAT, Dept Algebra, Santiago De Compostela 15782, Spain

来源：

FORUM MATHEMATICUM | 2017年 / 29卷 / 03期

基金：

美国国家科学基金会;

关键词：

Multiplicative lie rings; non-abelian tensor and exterior products; homology; HOMOLOGY;

D O I：

10.1515/forum-2015-0096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define a non-abelian tensor product of multiplicative Lie rings. This is a new concept providing a common approach to the non-abelian tensor product of groups defined by Brown and Loday and to the non-abelian tensor product of Lie rings defined by Ellis. We also prove an analogue of Miller's theorem for multiplicative Lie rings.

引用

页码：563 / 574

页数：12

共 16 条

[1] The Non-Abelian Tensor and Exterior Products of Crossed Modules of Lie Algebras
Ravanbod, Hajar
Salemkar, Ali Reza
JOURNAL OF LIE THEORY, 2018, 28 (01) : 169 - 185
[2] The non-abelian tensor and exterior products of crossed modules of Lie superalgebras
Taha, Tahereh Fakhr
Ladra, Manuel
Paez-Guillan, Pilar
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2022, 21 (09)
[3] A Non-Abelian Tensor Product of Lie Crossed Modules
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Ravanbod, Hajar
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JOURNAL OF LIE THEORY, 2021, 31 (04) : 933 - 956
[4] A non-abelian tensor product of precrossed modules in lie algebras
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COMMUNICATIONS IN ALGEBRA, 2020, 48 (04) : 1591 - 1600
[5] A Non-abelian Tensor Product of Hom-Lie Algebras
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Pacheco Rego, N.
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[6] Non-abelian tensor product and homology of Lie superalgebras
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JOURNAL OF ALGEBRA, 2015, 440 : 464 - 488
[7] Non-abelian tensor product of precrossed modules in Lie algebras, structure and applications
Edalatzadeh, Behrouz
Javan, Arash
Salemkar, Ali Reza
COMMUNICATIONS IN ALGEBRA, 2022, 50 (03) : 927 - 939
[8] On some properties preserved by the non-abelian tensor product of Hom-Lie algebras
Casas, J. M.
Khmaladze, E.
Pacheco Rego, N.
LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (04) : 607 - 626
[9] On the finiteness of the non-abelian tensor product of groups
Bastos, Raimundo
Nakaoka, Irene N.
Rocco, Norai R.
JOURNAL OF ALGEBRA, 2025, 664 : 251 - 267
[10] On some closure properties of the non-abelian tensor product
Donadze, G.
Ladra, M.
Thomas, V. Z.
JOURNAL OF ALGEBRA, 2017, 472 : 399 - 413

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