Results 11 to 20 of about 5,492 (174)
Injective classical quotient rings of polynomial rings are quasi-Frobenius
Journal of Pure and Applied Algebra, 1993 Let \(R\) be a ring and let \(X\) be a set of central indeterminates. The type of problem considered is the following: If the classical left quotient ring of \(R[X]\) exists and is left or right self-injective, does the left quotient ring of \(R\) exist and satisfy the corresponding property?
Herbera, Dolors, Pillay, Poobhalan
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MacWilliams extending conditions and quasi-Frobenius rings [PDF]
, 2022 © 2022 Elsevier Inc. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted Manuscript version of a Published Work that appeared in final form in ...
Srivastava, Ashish K. +1 more
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Generalizations of the theory of quasi-frobenius rings [PDF]
In this thesis, we consider several generalizations of the theory of Quasi-Frobenius rings, and construct examples of the classes of rings we introduce. In Chapter 1 we establish well known results, although the way in which we use idempotents is apparently new.\ud \ud Chapter 2 is devoted to the study of three generalizations of Quasi-Frobenius rings,
Norton, Nicholas Charles
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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,
Bódi, Viktor +4 more
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On the Cohomology of Modules over Hopf Algebras [PDF]
, 1972 Let R be a commutative ring. Define an FH-algebra H to be a Hopf algebra and a Frobenius algebra over R with a Frobenius homomorphism ψ such that ∑(h) h(1) ψ(h(2)) = ψ(h) · 1 for all h ϵ H.
Pareigis, Bodo
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, 2023 In [4] Wei and Libin defined Quasi normal ring. In this paper we attempt to define Quasi-k-normal ring by using the action of k-potent element. A ring is called Quasi-k-normal ring if ae = 0 ⇒ eaRe = 0 for a ∈ N(R)and e ∈ K(R), where K(R) = {e ∈ R|ek = e}
Saikia, Helen K. +2 more
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Dicyclic Groups and Frobenius Manifolds: DICYCLIC GROUPS AND FROBENIUS MANIFOLDS
, 2021 The 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
Zainab Al-Maamari, Yassir Dinar
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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Global Frobenius Betti Numbers and Frobenius Euler Characteristics
, 2022 We extend the notion of Frobenius Betti numbers to large classes of finitely generated modules over rings of prime characteristic, which are not assumed to be local. To do so, we introduce new invariants, which we call Frobenius Euler characteristics. We
De Stefani A., Yao Y., Polstra T.
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Journal of Chemometrics, Volume 40, Issue 6, June 2026.ABSTRACT Near‐infrared (NIR) spectroscopy combined with ANOVA–simultaneous component analysis (ASCA) provides a powerful approach for investigating sourdough fermentation. Two complementary longitudinal experiments (repeated four times) were conducted to evaluate the influence of key design factors on sourdough development over a 28‐day refreshment ...
Mari van Wyk +2 more
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