期刊： ALGEBRA COLLOQUIUM, 2023; 30 (4)
We introduce the notion of a quadratic graph, which is a graph whose eigenvalues are integral or quadratic algebraic integral, and we determine nine i......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (4)
We extend the notions of commutativity, ideals, anisotropy, and complemented subtriples of Jordan triple systems to those of Jordan quadruple systems.......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (2)
Let (H, alpha(H), beta(H), psi(H), omega(H), S-H) be a BiHom-Hopf algebra and (A, alpha(A), beta(A)) be an (H ffH fiH, H, !H)-BiHom-bimodule algebra, ......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (1)
We aim to study maximal pairwise commuting sets of 3-transpositions (transvections) of the simple unitary group U-n(2) over GF(4), and to construct de......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (1)
In the Ringel-Hall algebra of Dynkin type, the set of all commutator relations between the isoclasses of indecomposable representations forms a minima......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (3)
Let R be a ring with an endomorphism sigma, F boolean OR{0} the free monoid generated by U = {u(1),(center dot center dot center dot),u(t)} with 0 add......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (2)
Let A(q) = k(x, y)/(x(2), xy + qyx, y(2)) over a field k. We give a clear character-ization of the Batalin-Vilkovisky algebraic structure on Hochschil......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (3)
The inclusion ideal graph In(S) of a semigroup S is an undirected simple graph whose vertices are all the nontrivial left ideals of S and two distinct......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (2)
The distance matrix of a connected graph G, denoted by D(G), is the matrix whose rows and columns are indexed by the vertex set V(G) such that the (v(......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (2)
Let L be a simple modular Lie superealgebra of Witt type or special type over an algebraically closed field of characteristic p>2. In this paper, a......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (2)
The new concept derimorphism generalizing both derivation and homomorphism is defined. When a derimorphism is invertible, its inverse is a Rota-Baxter......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (4)
Let R be a commutative ring with identity, M be an R-module, L (M ) denote the set of all submodules of M and G subset of L ( M) \ { 0(M) } . For any ......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (3)
It was shown recently that the heart of a twin cotorsion pair on an extriangulated category is semi-abelian. In this article, we consider a special cl......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (3)
Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal B ( ? ) for the quantum affine algebr......
期刊： ALGEBRA COLLOQUIUM, 2023; 30 (2)
We introduce first the spanning simplicial complex (SSC) of a multigraph G, which gives a generalization of the SSC associated with a simple graph G. ......
