Results 61 to 70 of about 1,418 (162)
Equivariant resolutions over Veronese rings
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa +4 more
wiley +1 more source
Preantipodes for dual quasi-bialgebras [PDF]
Israel Journal of Mathematics, 2012 It is known that a dual quasi-bialgebra with antipode $H$, i.e. a dual quasi-Hopf algebra, fulfils a fundamental theorem for right dual quasi-Hopf $H$-bicomodules. The converse in general is not true. We prove that, for a dual quasi-bialgebra $H$, the structure theorem amounts to the existence of a suitable map $S:H\rightarrow H$ that we call a ...
ARDIZZONI, Alessandro, PAVARIN, Alice
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Small bialgebras with a projection
Journal of Algebra, 2007 Let \(A\) be a bialgebra over a field \(K\) of characteristic zero, \(H\) a subbialgebra with antipode, such that there is a coalgebra projection \(p\) of \(A\) onto \(H\). Let \(R\) be the \(H\)-coinvariant part of \(A\), i.e., the elements \(a\) in \(A\) so that \(\sum a_1\otimes p(a_2)=a\otimes 1\). The authors determine the structure of \(A\) when \
ARDIZZONI, Alessandro +2 more
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Jacobi–Jordan Conformal Algebras: Basics, Constructions and Related Structures
MathematicsThe main purpose of this paper is to introduce and investigate the notion of Jacobi–Jordan conformal algebras. They are a generalization of Jacobi–Jordan algebras which correspond to the case in which the formal parameter λ equals 0.
Taoufik Chtioui +2 more
doaj +1 more source
Multiplier Infinitesimal Bialgebras and Derivator Lie Bialgebras
, 2011 11 ...
Arango, Jesus Alonso Ochoa +2 more
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پژوهشهای ریاضی, 2020 Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
doaj
Transactions of the American Mathematical Society, 2015 A non-unital generalization of weak bialgebra is proposed with a multiplier-valued comultiplication. Certain canonical subalgebras of the multiplier algebra (named the ‘base algebras’) are shown to carry coseparable co-Frobenius coalgebra structures.
Böhm, Gabriella Eszter +2 more
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Braided bialgebras in a generated monoidal Ab-category [PDF]
, 2010 Raul A. Perez, Carlos Prieto
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A Pairing Theorem between a Braided Bialgebra and Its Dual Bialgebra
Journal of Algebra, 2001 Let \(q\in\mathbb{C}\setminus\{0\}\) and \(R=\sum^n_{i,j=1}q^{i-j}E_{ii}\otimes E_{jj}\) be a special Hayashi \(R\)-matrix, where \(E_{ii}\) are matrix units. Then \(R\) is an \(n^2\times n^2\) \(R\)-matrix, and one can construct the FRT bialgebra \(A_R\) over \(\mathbb{C}\), which is an infinite dimensional braided bialgebra determined by the ...
Maozheng, Guo +2 more
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