Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Johan Öinert"'
Autor:
Patrik Lundström, Johan Öinert
Publikováno v:
Journal of Algebra and Its Applications.
The results that are stated in P. Nystedt and J. Öinert [Group gradations on Leavitt path algebras, J. Algebra Appl. 19(9) (2020) 2050165, Sec. 4] hold true, but due to an oversimplification some of the proofs are incomplete. The purpose of this not
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a5922782f14394c5968b039ed6982964
https://doi.org/10.1142/s0219498824920014
https://doi.org/10.1142/s0219498824920014
Autor:
Johan Öinert, Patrik Nystedt
Suppose that $R$ is an associative unital ring and that $E=(E^0,E^1,r,s)$ is a directed graph. Utilizing results from graded ring theory we show, that the associated Leavitt path algebra $L_R(E)$ is simple if and only if $R$ is simple, $E^0$ has no n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65fa081202b4334474059ce74d834020
Publikováno v:
Glasgow Mathematical Journal. 62:233-259
We introduce the class of partially invertible modules and show that it is an inverse category which we call the Picard inverse category. We use this category to generalize the classical construction of crossed products to, what we call, generalized
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c5e900e6f8d4f012d3062c9a2235262
https://doi.org/10.1017/s0017089519000065
https://doi.org/10.1017/s0017089519000065
Autor:
Johan Öinert, Patrik Lundström
Publikováno v:
Journal of Algebra and Its Applications. 21
Let $R$ be a unital ring, let $E$ be a directed graph and recall that the Leavitt path algebra $L_R(E)$ carries a natural $\mathbb{Z}$-gradation. We show that $L_R(E)$ is strongly $\mathbb{Z}$-graded if and only if $E$ is row-finite, has no sink, and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ef87a616f902614d65fedea9fe150fa
https://doi.org/10.1142/s0219498822501419
https://doi.org/10.1142/s0219498822501419
Publikováno v:
Journal of Algebra. 514:1-24
We introduce the class of epsilon-strongly graded rings and show that it properly contains both the class of strongly graded rings and the class of unital partial crossed products. We determine precisely when an epsilon-strongly graded ring is separa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5e260a2abf87d73ed5455a329d7d0b7
https://doi.org/10.1016/j.jalgebra.2018.08.002
https://doi.org/10.1016/j.jalgebra.2018.08.002
Publikováno v:
Israel Journal of Mathematics. 224:263-292
We introduce non-associative Ore extensions, $S = R[X ; \sigma , \delta]$, for any non-associative unital ring $R$ and any additive maps $\sigma,\delta : R \rightarrow R$ satisfying $\sigma(1)=1$ and $\delta(1)=0$. In the special case when $\delta$ i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0418fff2c3fece35610471ba3aa8afae
https://doi.org/10.1007/s11856-018-1642-z
https://doi.org/10.1007/s11856-018-1642-z
Given a partial action π of an inverse semigroup S on a ring 𝒜 {\mathcal{A}} , one may construct its associated skew inverse semigroup ring 𝒜 ⋊ π S {\mathcal{A}\rtimes_{\pi}S} . Our main result asserts that, when 𝒜 {\mathcal{A}} is commu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::88563ba659c923e8fbdebf2bb1e5c7d9
http://arxiv.org/abs/1708.04973
http://arxiv.org/abs/1708.04973
Given a non-associative unital ring $R$, a monoid $G$ and a set $\pi$ of additive maps $R \rightarrow R$, we introduce the Ore monoid ring $R[\pi ; G]$, and, in a special case, the differential monoid ring. We show that these structures generalize, i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba7a05da5b685d5cd6e679e6fdbfa245
Publikováno v:
Journal of Algebra. 420:201-216
Let A be a commutative and associative ring (not necessarily unital), G a group and α a partial action of G on ideals of A, all of which have local units. We show that A is maximal commutative in the partial skew group ring A*G if and only if A has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bc6c4d3d766b1b006082983961a5aa2
https://doi.org/10.1016/j.jalgebra.2014.07.027
https://doi.org/10.1016/j.jalgebra.2014.07.027
Autor:
Johan Öinert, Patrik Nystedt
Publikováno v:
Journal of Algebra and Its Applications. 19:2050231
We show that if a nonassociative unital ring is graded by a hypercentral group, then the ring is simple if and only if it is graded simple and the center of the ring is a field. Thereby, we extend a result by Jespers to a nonassociative setting. By a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0887e8d8e0e917812db2cb3823347957
https://doi.org/10.1142/s021949882050231x
https://doi.org/10.1142/s021949882050231x