ON $D_4$ INVARIANTS OF POLYNOMIAL ALGEBRAS
نویسندگان
چکیده
Let $D_4$ be the dihedral group of order $8$. In present study, we give generators algebra invariants in polynomial with four over a field characteristic zero.
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولOn Polynomial Invariants of Virtual Links
The VA-polynomial proposed in the author’s earlier paper (Acta Appl. Math. 72 (2002), 295–309) for virtual knots and links is considered in this paper. One goal here is to refine the definition of this polynomial to the case of the ring Z in place of the field Q. Moreover, the approach in the paper mentioned makes it possible to recognize “long virtual knots” obtained from equivalent virtual kn...
متن کاملFinitely Generated Invariants of Hopf Algebras on Free Associative Algebras
We show that the invariants of a free associative algebra of finite rank under a linear action of a finite-dimensional Hopf algebra generated by group-like and skew-primitive elements form a finitely generated algebra exactly when the action is scalar. This generalizes an analogous result for group actions by automorphisms obtained by Dicks and Formanek, and Kharchenko.
متن کاملPolynomial Invariants of Graphs
We define two polynomials f(G) and /*(G) for a graph G by a recursive formula with respect to deformation of graphs. Analyzing their various properties, we shall discuss when two graphs have the same polynomials. Introduction. Our graphs are finite, undirected ones with or without self-loops and multiple edges. As elementary deformations of graphs, we have the deletion and the contraction of ed...
متن کاملMore on Cardinal Invariants of Boolean Algebras
We address several questions of Donald Monk related to irredundance and spread of Boolean algebras, gaining both some ZFC knowledge and consistency results. We show in ZFC that irr(B0 × B1) = max{irr(B0), irr(B1)}. We prove consistency of the statement “there is a Boolean algebra B such that irr(B) < s(B ~ B)” and we force a superatomic Boolean algebra B∗ such that s(B∗) = inc(B∗) = κ, irr(B∗) ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of universal mathematics
سال: 2023
ISSN: ['2618-5660']
DOI: https://doi.org/10.33773/jum.1164153