Results 11 to 20 of about 51 (43)

Unique factorization in modules and symmetric algebras

, 1976
Necessary and sufficient conditions are given for a torsionfree module M over a UFD D to admit a smallest factorial module containing it. This factorial hull is nMp, the intersection taken over all height one primes of D. In case M is finitely generated,
D. Costa
semanticscholar   +1 more source

Multiplicative structure of generalized Koszul complexes

, 1973
A multiplicative structure is defined for the generalized Koszul complexes K( APf) associated with the exterior powers of a map f: R"' -. RX where R is a commutative ring and m > n. With this structure K( Af ) becomes a differential graded R-algebra over
Eugene H. Gover
semanticscholar   +1 more source

Characterization of Jordan centralizers and Jordan two-sided centralizers on triangular rings without assuming unity [PDF]

arXiv, 2021
The main purpose of this paper is to show that every Jordan centralizer and every Jordan two-sided centralizer is a centralizer on triangular rings without assuming unity. As an application, we prove that every Jordan generalized derivation on a triangular ring is a two-sided generalized derivation. Some other related results are also discussed.
arxiv  

Steady growth of length function and Malcev algebras [PDF]

arXiv, 2022
We introduce and investigate the algebras of steadily growing length, that is the class of algebras, where the length is bounded by a linear function of the dimension. In particular we show that Malcev algebras belong to this class and establish the exact upper bound for its length.
arxiv  

Commuting Jordan derivations on triangular rings are zero [PDF]

arXiv, 2023
The main purpose of this article is to show that every commuting Jordan derivation on triangular rings (unital or not) is identically zero. Using this result, we prove that if $\mathcal{A}$ is a 2-torsion free ring such that it is either semiprime or satisfies Condition (P), then every commuting Jordan derivation from $\mathcal{A}$ into itself, under ...
arxiv  

Homomorphic images of affine quandles [PDF]

arXiv, 2020
We are interested in abstract conditions that characterize homomorphic images of affine quandles. Our main result is a two-fold characterization of this class: one by a property of the displacement group, the other one by a property of the corresponding affine mesh.
arxiv  

Lie triple maps on generalized matrix algebras [PDF]

arXiv, 2021
In this article, we introduce the notion of Lie triple centralizer as follows. Let $\mathcal{A}$ be an algebra, and $\phi:\mathcal{A}\to\mathcal{A}$ be a linear mapping. we say $\phi$ is a Lie triple centralizer whenever $\phi([[a,b],c])=[[\phi(a),b],c]$ for all $a,b,c\in\mathcal{A}$.
arxiv  

On Wreath Products of One-Class Association Schemes [PDF]

arXiv, 2010
We give a full description of the algebraic structures of the Bose-Mesner algebra and Terwilliger algebra of the wreath product of one-class association schemes.
arxiv  

Lie higher derivations of arbitrary triangular algebras [PDF]

arXiv, 2021
Motivated by the works of Wang [Y. Wang, \textit{Lie (Jordan) derivations of arbitrary triangular algebras,} Aequationes Mathematicae, \textbf{93} (2019), 1221-1229] and Moafian et al. [F. Moafian and H. R. Ebrahimi Vishki, \textit{Lie higher derivations on triangular algebras revisited,} Filomat, \textbf{30}(12) (2016), 3187-3194.], we shall study Lie
arxiv  

Nonlinear Jordan Derivations of Triangular Algebras [PDF]

arXiv, 2012
In this paper we prove that any nonlinear Jordan derivation on triangular algebras is an additive derivation. As a byproduct, we obtain that any nonlinear Jordan derivation on nest algebras over infinite dimensional Hilbert spaces is inner.
arxiv