International Journal of Algebra and Computation, ISSN 0218-1967, 11/2019, Volume 29, Issue 7, pp. 1235 - 1247

In this paper, we will first determine all the super-skewsymmetric super-biderivations of the twisted N = 2 superconformal algebra ℒ , and prove that every...

MATHEMATICS | super-skewsymmetric | super-biderivation | linear super-commuting map | Lie super-algebra

MATHEMATICS | super-skewsymmetric | super-biderivation | linear super-commuting map | Lie super-algebra

Journal Article

Frontiers of Mathematics in China, ISSN 1673-3452, 10/2019, Volume 14, Issue 5, pp. 907 - 922

Let $$\widetilde{tsns}$$ t s n s denote the twisted N = 1 Schrödinger-Neveu-Schwarz algebra over the complex field ℂ: In this paper, we determine the...

super-skewsymmetric | 17B68 | super-biderivation | 17B40 | 17B65 | Mathematics, general | Mathematics | Lie super-algebra

super-skewsymmetric | 17B68 | super-biderivation | 17B40 | 17B65 | Mathematics, general | Mathematics | Lie super-algebra

Journal Article

Communications in Algebra, ISSN 0092-7872, 04/2019, Volume 47, Issue 4, pp. 1662 - 1670

Triangular matrix rings are examples of trivial extensions. In this article, we describe the superderivations of the trivial extensions and upper triangular...

Primary: 16S50 | triangular matrix ring | trivial extension | Super-biderivation | superderivation | Secondary: 16W25 | superring | 16W55 | MATHEMATICS | DERIVATIONS | Questions | Rings (mathematics)

Primary: 16S50 | triangular matrix ring | trivial extension | Super-biderivation | superderivation | Secondary: 16W25 | superring | 16W55 | MATHEMATICS | DERIVATIONS | Questions | Rings (mathematics)

Journal Article

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, ISSN 1303-5010, 2019, Volume 48, Issue 4, pp. 985 - 995

In this paper, we first determine all the super-skewsymmetric super-biderivations of the N=2 superconformal algebra g. As an application of...

MATHEMATICS | STATISTICS & PROBABILITY | super-skewsymmetric | super-biderivation | linear super-commuting map | Lie super-algebra

MATHEMATICS | STATISTICS & PROBABILITY | super-skewsymmetric | super-biderivation | linear super-commuting map | Lie super-algebra

Journal Article

São Paulo Journal of Mathematical Sciences, ISSN 1982-6907, 12/2019, Volume 13, Issue 2, pp. 615 - 627

In this paper, we first determine all the super-skewsymmetric super-biderivations of the super- $$\mathrm{BMS}_{3}$$ BMS 3 algebra. In particular, we find that...

17B68 | 17B40 | Linear super-commuting map | Super-skewsymmetric | Super-biderivation | Mathematics, general | Mathematics | 17B05 | Lie super-algebra

17B68 | 17B40 | Linear super-commuting map | Super-skewsymmetric | Super-biderivation | Mathematics, general | Mathematics | 17B05 | Lie super-algebra

Journal Article

Colloquium Mathematicum, ISSN 0010-1354, 2018, Volume 153, Issue 2, pp. 273 - 300

Journal Article

Quaestiones Mathematicae, ISSN 1607-3606, 08/2019, Volume 42, Issue 6, pp. 831 - 839

In this paper, the biderivations of the Galiean conformal algebra are determined. As an application, the forms of the commutative post-Lie algebra structures...

post-Lie algebra | Biderivation | 17B68 | 17B40 | 17B05 | Galilean conformal algebra | LIE-ALGEBRAS | MATHEMATICS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS

post-Lie algebra | Biderivation | 17B68 | 17B40 | 17B05 | Galilean conformal algebra | LIE-ALGEBRAS | MATHEMATICS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS

Journal Article

Journal of Applied Mathematics and Computing, ISSN 1598-5865, 10/2018, Volume 58, Issue 1, pp. 567 - 576

The Schrödinger algebra is a non-semisimple Lie algebra and plays an important role in mathematical physics and its applications. In this paper, all...

Computational Mathematics and Numerical Analysis | Linear commuting map | Schrödinger algebra | Mathematics of Computing | Mathematical and Computational Engineering | Derivation | Biderivation | 16W25 | Mathematics | Theory of Computation | Post-Lie algebra | 16W10 | MATHEMATICS, APPLIED | REPRESENTATIONS | LIE-ALGEBRA | MATHEMATICS | SIMPLE WEIGHT MODULES | FINITE | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Schrodinger algebra | Algebra | Mathematical analysis | Physics | Quantum theory | Lie groups

Computational Mathematics and Numerical Analysis | Linear commuting map | Schrödinger algebra | Mathematics of Computing | Mathematical and Computational Engineering | Derivation | Biderivation | 16W25 | Mathematics | Theory of Computation | Post-Lie algebra | 16W10 | MATHEMATICS, APPLIED | REPRESENTATIONS | LIE-ALGEBRA | MATHEMATICS | SIMPLE WEIGHT MODULES | FINITE | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Schrodinger algebra | Algebra | Mathematical analysis | Physics | Quantum theory | Lie groups

Journal Article

Communications in Algebra, ISSN 0092-7872, 03/2004, Volume 32, Issue 2, pp. 689 - 705

The extended centroid of prime associative superalgebras is studied. As applications we obtain the superalgebra versions of some known theorems on derivations...

Extended centroid | Associative superalgebra | 16R50 | Super-biderivation | 17A70 | 16W25 | Functional identities | Superderivation | MATHEMATICS | JORDAN | super-biderivation | extended centroid | RINGS | SUPERINVOLUTION | superderivation | SKEW ELEMENTS | functional identities | associative superalgebra | LIE-STRUCTURE

Extended centroid | Associative superalgebra | 16R50 | Super-biderivation | 17A70 | 16W25 | Functional identities | Superderivation | MATHEMATICS | JORDAN | super-biderivation | extended centroid | RINGS | SUPERINVOLUTION | superderivation | SKEW ELEMENTS | functional identities | associative superalgebra | LIE-STRUCTURE

Journal Article

Communications in Algebra, ISSN 0092-7872, 12/2016, Volume 44, Issue 12, pp. 5342 - 5350

Let SVir be the well-known super-Virasoro algebras. In this paper, we first prove that any super-skewsymmetric super-biderivation of SVir is inner. Based on...

Super-commuting maps | 17B68 | 17B40 | Super-Virasoro algebras | 17B05 | Super-biderivations | MATHEMATICS | Charge | Mapping | Algebra | Maps

Super-commuting maps | 17B68 | 17B40 | Super-Virasoro algebras | 17B05 | Super-biderivations | MATHEMATICS | Charge | Mapping | Algebra | Maps

Journal Article

Linear Algebra and Its Applications, ISSN 0024-3795, 02/2018, Volume 538, pp. 43 - 55

In this paper, we determine the biderivations of the block Lie algebras B(q) for all q∈C. More precisely, we prove that the space of biderivations of B(q) is...

Derivation | Biderivation | Block Lie algebra | Commuting map | MATHEMATICS | MATHEMATICS, APPLIED | RINGS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Information science | Algebra

Derivation | Biderivation | Block Lie algebra | Commuting map | MATHEMATICS | MATHEMATICS, APPLIED | RINGS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Information science | Algebra

Journal Article

12.
Full Text
Biderivations and linear commuting maps on the restricted Cartan-type Lie algebras H(n; 1)

Communications in Algebra, ISSN 0092-7872, 03/2019, Volume 47, Issue 3, pp. 1311 - 1326

Let be a field of characteristic p > 3 and be the restricted Cartan-type Lie algebras . We prove that each skew-symmetric biderivation of is inner. As...

linear commuting maps | 17B50 | Restricted Cartan-type Lie algebras | 17B40 | 17B05 | biderivations | MATHEMATICS | SUPER-BIDERIVATIONS | Multiplication | Commuting | Automorphisms | Lie groups

linear commuting maps | 17B50 | Restricted Cartan-type Lie algebras | 17B40 | 17B05 | biderivations | MATHEMATICS | SUPER-BIDERIVATIONS | Multiplication | Commuting | Automorphisms | Lie groups

Journal Article

13.
Full Text
Super-biderivations and super-commuting maps on the topological N=2 superconformal algebra

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, ISSN 1370-1444, 12/2018, Volume 25, Issue 4, pp. 597 - 609

Let T be the well-known topological N = 2 superconformal algebra. In this paper, we prove that every super-skewsymmetric super-biderivation of T is inner....

MATHEMATICS | super-biderivations | topological N=2 superconformal algebra | super-commuting maps

MATHEMATICS | super-biderivations | topological N=2 superconformal algebra | super-commuting maps

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 01/2017, Volume 65, Issue 1, pp. 58 - 66

In this paper, we attempt to investigate the super-biderivations of Lie superalgebras. Furthermore, we prove that all super-biderivations on the centerless...

17B68 | Lie superalgebras | 17B40 | biderivations | 17B65 | super-Virasoro algebras | 17B70 | super-biderivations | 17B05 | MATHEMATICS | MODULES | VIRASORO ALGEBRA | LINEAR COMMUTING MAPS | Algebra

17B68 | Lie superalgebras | 17B40 | biderivations | 17B65 | super-Virasoro algebras | 17B70 | super-biderivations | 17B05 | MATHEMATICS | MODULES | VIRASORO ALGEBRA | LINEAR COMMUTING MAPS | Algebra

Journal Article

Taiwanese Journal of Mathematics, ISSN 1027-5487, 12/2018, Volume 22, Issue 6, pp. 1347 - 1366

For a, b is an element of C, the Lie algebra W(a, b) is the semidirect product of the Witt algebra and a module of the intermediate series. In this paper, all...

Lie algebra W(a,b) | Post-Lie algebra | Biderivation | MATHEMATICS | W(A | HEISENBERG-VIRASORO ALGEBRA | biderivation | Lie algebra W(a, b) | post-Lie algebra | SUPERALGEBRAS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS

Lie algebra W(a,b) | Post-Lie algebra | Biderivation | MATHEMATICS | W(A | HEISENBERG-VIRASORO ALGEBRA | biderivation | Lie algebra W(a, b) | post-Lie algebra | SUPERALGEBRAS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 04/2019, Volume 67, Issue 4, pp. 649 - 659

In this paper, the biderivations without skew-symmetric condition of the planar Galilean conformal algebra are presented. As applications, the...

17B40 | 17B65 | post-Lie algebra | Biderivation | planar Galilean conformal algebra | linear commuting map | 17B05 | LIE-ALGEBRAS | MATHEMATICS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Algebra | Lie groups

17B40 | 17B65 | post-Lie algebra | Biderivation | planar Galilean conformal algebra | linear commuting map | 17B05 | LIE-ALGEBRAS | MATHEMATICS | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Algebra | Lie groups

Journal Article

Linear and Multilinear Algebra, ISSN 0308-1087, 02/2018, Volume 66, Issue 2, pp. 250 - 259

In this paper, we prove that a biderivation of a finite-dimensional complex simple Lie algebra without the restriction of being skewsymmetric is an inner...

simple Lie algebra | general linear Lie algebra | 17B40 | 17B65 | Biderivation | linear commuting map | 17B05 | MATHEMATICS | TRIANGULAR ALGEBRAS | MATRICES | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Algebra | Oscillators | Quantum theory | Lie groups

simple Lie algebra | general linear Lie algebra | 17B40 | 17B65 | Biderivation | linear commuting map | 17B05 | MATHEMATICS | TRIANGULAR ALGEBRAS | MATRICES | SUPER-BIDERIVATIONS | LINEAR COMMUTING MAPS | Algebra | Oscillators | Quantum theory | Lie groups

Journal Article

Communications in Algebra, ISSN 0092-7872, 06/2018, Volume 46, Issue 6, pp. 2648 - 2658

Let be the super Galilean conformal algebra. In this paper, we first determine all the super-skewsymmetric super-biderivations of . In particular, we find that...

17B68 | super Galilean conformal algebras | 17B40 | 17B05 | Super-biderivations | super-commuting maps | VIRASORO ALGEBRAS | LIE-ALGEBRAS | MATHEMATICS | GENERALIZED BIDERIVATIONS | SUPERALGEBRAS | Mathematical analysis

17B68 | super Galilean conformal algebras | 17B40 | 17B05 | Super-biderivations | super-commuting maps | VIRASORO ALGEBRAS | LIE-ALGEBRAS | MATHEMATICS | GENERALIZED BIDERIVATIONS | SUPERALGEBRAS | Mathematical analysis

Journal Article

Aequationes mathematicae, ISSN 0001-9054, 2/2018, Volume 92, Issue 1, pp. 91 - 109

In this paper, we characterize super-biderivations of classical simple Lie superalgebras over the complex field $$\mathbb {C}$$ C . Furthermore, we prove that...

17B66 | Linear super commuting maps | 17B40 | Analysis | 17B65 | Mathematics | Classical simple Lie superalgebras | Combinatorics | Super-biderivations | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | TRIANGULAR MATRIX-RINGS | LINEAR COMMUTING MAPS

17B66 | Linear super commuting maps | 17B40 | Analysis | 17B65 | Mathematics | Classical simple Lie superalgebras | Combinatorics | Super-biderivations | MATHEMATICS | MATHEMATICS, APPLIED | ALGEBRAS | TRIANGULAR MATRIX-RINGS | LINEAR COMMUTING MAPS

Journal Article

Communications in Algebra, ISSN 0092-7872, 06/2018, Volume 46, Issue 6, pp. 2346 - 2355

In this paper, the biderivations without the skew-symmetric condition of the twisted Heisenberg-Virasoro algebra are presented. We find some non-inner and...

linear commuting maps | 17B68 | left-symmetric algebra | 17B40 | post-Lie algebra | twisted Heisenberg-Virasoro algebra | Biderivation | 17B05 | twisted Heisenberg–Virasoro algebra | MATHEMATICS | W(A | LIE-ALGEBRA | SUPER-BIDERIVATIONS | Quantum theory | Algebra | Lie groups

linear commuting maps | 17B68 | left-symmetric algebra | 17B40 | post-Lie algebra | twisted Heisenberg-Virasoro algebra | Biderivation | 17B05 | twisted Heisenberg–Virasoro algebra | MATHEMATICS | W(A | LIE-ALGEBRA | SUPER-BIDERIVATIONS | Quantum theory | Algebra | Lie groups

Journal Article

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