Homomorphismen und Pseudohomomorphismen der Ternärringe und Homomorphismen schwacher Pseudoebenen
Homotopes of Alternative Algebras.
Homotopes of Noncommutative Jordan Algebras.
How to categorify one-half of quantum 𝔤𝔩(1|2)
We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra 𝔤𝔩(1|2).
Ideal theory in the ternary semiring .
Invariant analysis and contractions of symmetric spaces. Part I
Invariant nonassociative algebra structures on irreducible representations of simple Lie algebras.
Invariant theory of G2 and Spin7.
Invariants of Lie color algebras acting on graded algebras
We prove a series of "going-up" theorems contrasting the structure of semiprime algebras and their subalgebras of invariants under the actions of Lie color algebras.
Inverse semirings whose additive endomorphisms are multiplicative
Irreducible binary -bimodules over simple finite-dimensional algebras.
Irreducible identities of -algebras.
Isomorphisms and generalized derivations in proper -algebras.
Isoparametric triple systems of FKM-Type II.
Jordan algebras and mutation algebras. homotopy and von Neumann regularity
Jordan superderivations and Jordan triple superderivations of superalgebras
We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.
Koordinatisation projektiver Ebenen mit Homomorphismus
Künneth-style formula for the homology of Leibniz algebras.
Lattice isomorphisms of alternative algebras
Left-right noncommutative Poisson algebras
The notions of left-right noncommutative Poisson algebra (NPlr-algebra) and left-right algebra with bracket AWBlr are introduced. These algebras are special cases of NLP-algebras and algebras with bracket AWB, respectively, studied earlier. An NPlr-algebra is a noncommutative analogue of the classical Poisson algebra. Properties of these new algebras are studied. In the categories AWBlr and NPlr-algebras the notions of actions, representations, centers, actors and crossed modules are described as...