Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Érica Z. Fornaroli"'
Autor:
Érica Z. Fornaroli
Publikováno v:
Algebra Colloquium. 29:419-426
Let [Formula: see text] be a finite partially ordered set, [Formula: see text] an associative unital ring and [Formula: see text] an endomorphism of [Formula: see text]. We describe some properties of the skew incidence ring [Formula: see text] such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4a8c089c7ea6d938bf99b9cbcb410f8e
https://doi.org/10.1142/s1005386722000311
https://doi.org/10.1142/s1005386722000311
Autor:
Érica Z. Fornaroli, Roger E.M. Pezzott
Publikováno v:
Linear Algebra and its Applications. 637:82-109
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74debc895ff56d42d856b257a27ac089
https://doi.org/10.1016/j.laa.2021.12.005
https://doi.org/10.1016/j.laa.2021.12.005
Publikováno v:
Glasgow Mathematical Journal. 64:702-715
Let X be a finite connected poset and K a field. We study the question, when all Lie automorphisms of the incidence algebra I(X, K) are proper. Without any restriction on the length of X, we find only a sufficient condition involving certain equivale
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1700307b33d0e70ff3b6edd0a972bc83
https://doi.org/10.1017/s0017089522000015
https://doi.org/10.1017/s0017089522000015
Publikováno v:
Communications in Algebra. 49:1816-1828
In this paper, we present necessary and sufficient conditions for an additive derivation of an incidence algebra of a connected finite partially ordered set X to be inner. These conditions are rela...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c69b00bcba74531d22d510542ae8b02a
https://doi.org/10.1080/00927872.2020.1854775
https://doi.org/10.1080/00927872.2020.1854775
Publikováno v:
Colloquium Mathematicum. 159:285-307
Let $\mathcal{C}$ be a pocategory, $FI(\mathcal{C})$ the finitary incidence ring of $\mathcal{C}$ and $\varphi$ a Jordan isomorphism of $FI(\mathcal{C})$ onto an associative ring $A$. We study the problem of decomposition of $\varphi$ into the (near-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::36b8c3d03050d617d6b3489c12e41192
https://doi.org/10.4064/cm7777-1-2019
https://doi.org/10.4064/cm7777-1-2019
We fully characterize regular Hom-Lie structures on the incidence algebra $I(X,K)$ of a finite connected poset $X$ over a field $K$. We prove that such a structure is the sum of a central-valued linear map annihilating the Jacobson radical of $I(X,K)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1ce121922eb21f2da4effe7a001c4f4
Publikováno v:
Journal of Pure and Applied Algebra. 223:769-782
In this paper we generalize the concepts of good and elementary gradings for an associative algebra A with a fixed multiplicative basis B. When the group G considered in the grading is abelian, we equip the set of good G-gradings of A with a structur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41f82e5c45eb9734e72ea038a5154a68
https://doi.org/10.1016/j.jpaa.2018.04.019
https://doi.org/10.1016/j.jpaa.2018.04.019
Autor:
Érica Z. Fornaroli
Publikováno v:
Journal of Algebra and Its Applications. 20:2150034
Let [Formula: see text] be a finite partially ordered set, [Formula: see text] a commutative domain and [Formula: see text] an endomorphism of [Formula: see text]. We define the skew incidence ring [Formula: see text] and we prove that each Jordan is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b11829b6c1919bf2a7d7b99e2844d89
https://doi.org/10.1142/s0219498821500341
https://doi.org/10.1142/s0219498821500341
Let $X$ be a partially ordered set, $R$ a commutative $2$-torsionfree unital ring and $FI(X,R)$ the finitary incidence algebra of $X$ over $R$. In this note we prove that each $R$-linear Jordan isomorphism of $FI(X,R)$ onto an $R$-algebra $A$ is the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::08de590df9f16975c8e200e641ccb0f4
http://arxiv.org/abs/1701.08859
http://arxiv.org/abs/1701.08859
Publikováno v:
International Journal of Algebra and Computation. 24:1085-1098
Let X be a connected partially ordered set and let K be a field of characteristic different from 2. We present necessary and sufficient conditions for two involutions on the finitary incidence algebra of X over K, FI (X), to be equivalent in the case
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3fcaf62080e2464a907ceaa1292a2450
https://doi.org/10.1142/s0218196714500477
https://doi.org/10.1142/s0218196714500477