Results 21 to 30 of about 312,361 (176)
, 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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FTF Rings and Frobenius Extensions
Journal of Algebra, 2002 Let \(R\) be a ring with identity element. Then \(R\) is called a left FTF ring if there exists a hereditary torsion theory \(\gamma\) on \(R\)-mod such that a left \(R\)-module \(M\) is \(\gamma\)-torsionfree if and only if \(M\) embeds in a flat left \(R\)-module. Let \(\lambda\) denote the Lambek torsion theory.
Gómez-Torrecillas, J., Torrecillas, B.
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Exponent matrices and Frobenius rings [PDF]
, 2014 We give a survey of results connecting the exponent matrices with Frobenius rings. In particular, we prove that for any parmutation σ ∈ Sn there exists a countable set of indecomposable Frobenius semidistributive rings Am with Nakayama permutation σ.The ...
Kirichenko, V.V. +3 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.
Robert A. Morris +3 more
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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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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 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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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
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Dicyclic Groups and Frobenius Manifolds
Sultan Qaboos University Journal for ScienceThe orbits space of an irreducible representation of a finite group is a variety whose coordinate ring is finitely generated by homogeneous invariant polynomials. Boris Dubrovin showed that the orbits spaces of the reflection groups acquire the structure
Yassir Dinar, Zainab Al-Maamari
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The prime graph conjecture for integral group rings of some alternatings groups [PDF]
International Journal of Group Theory, 2013 We investigate the classical Zassenhaus Conjecture (ZC) for integral group rings of alternating groups A9 and A10. Even the question (ZC) remains open as no counterexample is known up to date, it been confirmed for special types of groups such as ...
Mohamed Salim
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