Zobrazeno 1 - 10
of 15 636
pro vyhledávání: '"Rings and Algebras (math.RA)"'
Autor:
Bergman, George M.
Publikováno v:
Journal of Algebra. 631:731-737
Let $R$ be a ring, and consider a left $R$-module given with two (generally infinite) direct sum decompositions, $A\oplus(\bigoplus_{i\in I} C_i)=M=B\oplus(\bigoplus_{j\in J} D_j),$ such that the submodules $A$ and $B$ and the $D_j$ are each finitely
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21f71b913686b9463bad08b9d170d725
https://doi.org/10.1016/j.jalgebra.2023.05.017
https://doi.org/10.1016/j.jalgebra.2023.05.017
Autor:
Saikat Panja, Sachchidanand Prasad
Publikováno v:
Journal of Algebra. 631:148-193
Let $p$ be a polynomial in non-commutative variables $x_1,x_2,\ldots,x_n$ with constant term zero over an algebraically closed field $K$. The object of study in this paper is the image of this kind of polynomial over the algebra of upper triangular m
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0892ca76d38daa39725f83bf3e7b6761
https://doi.org/10.1016/j.jalgebra.2023.04.027
https://doi.org/10.1016/j.jalgebra.2023.04.027
Autor:
Kaiqiang Zhang, Xiankun Du
Publikováno v:
Journal of Algebra. 631:1-23
Set-theoretic solutions to the Yang-Baxter equation have been studied extensively by means of related algebraic systems such as cycle sets and braces, dynamical versions of which have also been developed. No work focuses on set-theoretic solutions to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02fb2e23a038270076cdc9a10464d70b
https://doi.org/10.1016/j.jalgebra.2023.05.004
https://doi.org/10.1016/j.jalgebra.2023.05.004
Autor:
Wouter Kager, Pieter Jacob Storm
Publikováno v:
Kager, W & Storm, P J 2023, ' On the class of matrices with rows that weakly decrease cyclicly from the diagonal ', Linear Algebra and its Applications, vol. 673, pp. 200-219 . https://doi.org/10.1016/j.laa.2023.05.013
We consider $n\times n$ real-valued matrices $A = (a_{ij})$ satisfying $a_{ii} \geq a_{i,i+1} \geq \dots \geq a_{in} \geq a_{i1} \geq \dots \geq a_{i,i-1}$ for $i = 1,\dots,n$. With such a matrix $A$ we associate a directed graph $G(A)$. We prove tha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99d3752a848a160aab09a70e0e349d7b
https://research.vu.nl/en/publications/74fe30f6-7c9d-4bbb-9924-66ae55ec18cd
https://research.vu.nl/en/publications/74fe30f6-7c9d-4bbb-9924-66ae55ec18cd
Autor:
Laura Cossu, Salvatore Tringali
Publikováno v:
Journal of Algebra. 630:128-161
It has been recently observed that fundamental aspects of the classical theory of factorization can be greatly generalized by combining the languages of monoids and preorders. This has led to various theorems on the existence of certain factorization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c763ec3aa9e89a6f40e4b3af289d3e27
https://doi.org/10.1016/j.jalgebra.2023.04.014
https://doi.org/10.1016/j.jalgebra.2023.04.014
Publikováno v:
Journal of Algebra. 629:265-306
A Leavitt labelled path algebra over a commutative unital ring is associated with a labelled space, generalizing Leavitt path algebras associated with graphs and ultragraphs as well as torsion-free commutative algebras generated by idempotents. We sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::549954d54cc56e2fb30f0b9cd3663501
https://doi.org/10.1016/j.jalgebra.2023.04.009
https://doi.org/10.1016/j.jalgebra.2023.04.009
Autor:
Luis Verde-Star
Publikováno v:
Linear Algebra and its Applications. 672:195-209
For a sequence of polynomials $\{p_k(t)\}$ in one real or complex variable, where $p_k$ has degree $k$, for $k\ge 0$, we find explicit expressions and recurrence relations for infinite matrices whose entries are the coefficients $d(n,m,k)$, called li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8483827e51ddcd6af077d5c78f9ee587
https://doi.org/10.1016/j.laa.2023.05.002
https://doi.org/10.1016/j.laa.2023.05.002
Autor:
James D. Mitchell, Maria Tsalakou
Publikováno v:
Journal of Algebra. 630:394-433
We describe a practical algorithm for computing normal forms for semigroups and monoids with finite presentations satisfying so-called small overlap conditions. Small overlap conditions are natural conditions on the relations in a presentation, which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a29b6477ff831abc6ad7b27334a5bc3
https://doi.org/10.1016/j.jalgebra.2023.04.019
https://doi.org/10.1016/j.jalgebra.2023.04.019
Autor:
Tobias Damm, Nicolas Dietrich
Publikováno v:
Linear Algebra and its Applications. 672:93-107
We study a relation between Hadamard powers and polynomial kernel perceptrons. The rank of Hadamard powers for the special case of a Boolean matrix and for the generic case of a real matrix is computed explicitly. These results are interpreted in ter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a781d36e34b1aadea769be3819b4f5b2
https://doi.org/10.1016/j.laa.2023.04.020
https://doi.org/10.1016/j.laa.2023.04.020
Autor:
Eusebio Gardella, Hannes Thiel
Publikováno v:
Linear Algebra and its Applications. 670:121-153
We say that an algebra is zero-product balanced if $ab\otimes c$ and $a\otimes bc$ agree modulo tensors of elements with zero-product. This is closely related to but more general than the notion of a zero-product determined algebra of Bre\v{s}ar, Gra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8e63539be70afc6c2c11e44d1b2ccc6
https://doi.org/10.1016/j.laa.2023.04.015
https://doi.org/10.1016/j.laa.2023.04.015