Yazar "Mansuroglu, Nil" için listeleme
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Bounded Engel elements in groups satisfying an identity
Bastos, Raimundo; Mansuroglu, Nil; Tortora, Antonio; Tota, Maria (SPRINGER BASEL AG, 2018)We prove that a residually finite group G satisfying an identity and generated by a commutator closed set X of bounded left Engel elements is locally nilpotent. We also extend such a result to locally graded groups, provided ... -
THE DIMENSION OF PRODUCTS OF n HOMOGENEOUS COMPONENTS IN FREE LIE ALGEBRAS
Mansuroglu, Nil (ANKARA UNIV, FAC SCI, 2019)Let L be a free Lie algebra of finite rank r >= 2 over a field F and we let L-mi denote the degree m(i) homogeneous component of L. Ralph Stohr and Micheal Vaughan-Lee derived formulae for the dimension of the subspaces ... -
A Note On The Structure Constants of Leibniz Algebras
Mansuroglu, Nil; Ozkaya, Mucahit (AMER INST PHYSICS, 2019)Leibniz algebras are certain generalization of Lie algebras. In literature, there are many articles on low dimensional Leibniz algebras. In this note our main goal is to investigate low dimensional Leibniz algebras and we ... -
ON THE DIMENSION OF THE PRODUCT [L-2, L-2, L-1] IN FREE LIE ALGEBRAS
Mansuroglu, Nil (UNIV ISFAHAN, VICE PRESIDENT RESEARCH & TECHNOLOGY, 2018)Let L be a free Lie algebra of rank r >= 2 over a field F and let L-n denote the degree n homogeneous component of L. By using the dimensions of the corresponding homogeneous and fine homogeneous components of the second ... -
Some basic properties of solvable Leibniz algebras
Mansuroglu, Nil (WORLD SCIENTIFIC PUBL CO PTE LTD, 2019)In this paper, we commence the systematic study of the structure of solvable Leibniz algebras and we give some basic properties on solvable non-Lie Leibniz algebras. Our main aim is to show a close relationship between ...
