Results 21 to 30 of about 17,639 (169)
, 2022 In order to study graded Frobenius algebras from a ring theoretical perspective, we introduce graded quasi-Frobenius rings, graded Frobenius rings and a shift-version of the latter ones, and we investigate the structure and representations of such objects.
Dascalescu, Sorin +2 more
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Formal Groups and Hopf Algebras over Discrete Rings [PDF]
, 1974 A theory of formal schemes and groups over abitrary rings is presented. The flat formal schemes in this theory have coalgebras of distributions which behave in the usual way. Frobenius and Verschiebung maps are studied.
Morris, R. A., Pareigis, Bodo
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A Remark on Frobenius Extensions and Endomorphism Rings [PDF]
Nagoya Mathematical Journal, 1959 In his paper [1] F. Kasch developed a theory of Frobenius extensions as a generalization of the theory of Frobenius algebras. In it he established a very interesting relationship between the Frobenius property of an extension and that of its endomorphism ring [1, Satz 5], from which he further derived the Frobenius extension property of Galois ...
Nakayama, Tadasi, Tsuzuku, Tosiro
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$p$-adic Berglund-H\"ubsch Duality [PDF]
, 2014 Berglund-H\"ubsch duality is an example of mirror symmetry between orbifold Landau-Ginzburg models. In this paper we study a D-module-theoretic variant of Borisov's proof of Berglund-H\"ubsch duality.
Aldi, Marco, Peruničić, Andrija
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SQUARE-FREE DISCRIMINANTS OF FROBENIUS RINGS [PDF]
International Journal of Number Theory, 2010 Let E be an elliptic curve over ℚ. We know that the ring of endomorphisms of its reduction modulo an ordinary prime p is an order of the quadratic imaginary field generated by the Frobenius element πp. However, except in the trivial case of complex multiplication, very little is known about the fields that appear as algebras of endomorphisms when p ...
David, Chantal, Jiménez Urroz, Jorge
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Zassenhaus conjecture for central extensions of S5 [PDF]
, 2008 We confirm a conjecture of Zassenhaus about rational conjugacy of torsion units in integral group rings for a covering group of the symmetric group S5 and for the general linear group GLð2; 5Þ. The first result, together with others from the literature,
Berman S. D. +12 more
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Frobenius groups of automorphisms and their fixed points [PDF]
, 2010 Suppose that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that the fixed-point subgroup of $F$ is trivial: $C_G(F)=1$.
Belyaev V. V. +10 more
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On the Frobenius complexity of Stanley–Reisner rings [PDF]
Communications in Algebra, 2020 The Frobenius complexity of a local ring $R$ measures asymptotically the abundance of Frobenius operators of order $e$ on the injective hull of the residue field of $R$. It is known that, for Stanley-Reisner rings, the Frobenius complexity is either $-\infty$ or $0$.
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A Class of Local Non-Chain Rings of Order p5m
AxiomsThis study investigates finite commutative local non-chain rings characterized by the well-established invariants p, n, m, l, and k, where p denotes a prime number. We specifically focus on Frobenius local rings with length l=5 and an index of nilpotency
Alhanouf Ali Alhomaidhi +2 more
doaj +1 more source
Degenerate coordinate rings of flag varieties and Frobenius splitting
, 2013 Recently E. Feigin introduced the $\mathbb G_a^N$-degenerations of semisimple algebraic groups and their associated degenerate flag varieties. It has been shown by Feigin, Finkelberg, and Littelmann that the degenerate flag varieties in types $A_n$ and ...
Hague, Chuck
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