Results 11 to 20 of about 1,025,286 (103)
, 1970 The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
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MacWilliams extending conditions and quasi-Frobenius rings [PDF]
, 2022 MacWilliams proved that every finite field has the extension property for Hamming weight which was later extended in a seminal work by Wood who characterized finite Frobenius rings as precisely those rings which satisfy the MacWilliams extension property.
Asensio, Pedro A. Guil +1 more
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Some results on quasi-Frobenius rings [PDF]
, 2017 summary:We give some new characterizations of quasi-Frobenius rings by the generalized injectivity of rings. Some characterizations give affirmative answers to some open questions about quasi-Frobenius rings; and some characterizations improve some ...
Zhu, Zhanmin
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The Frobenius Complexity of Hibi Rings [PDF]
, 2018 We study the Frobenius complexity of Hibi rings over fields of characteristic p. In particular, for a certain class of Hibi rings (which we call anticanonical level), we compute the limit of the Frobenius complexity as p goes to infinity.
Janet Rose Page (7959728)
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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 construction of quasi-Frobenius rings [PDF]
, 1973 A quasi-Frobenius ring (QF ring) is a left Artinian ring R with identity for which the left R-module RR is injective. Since Nakayama [8] introduced the notion of a QF ring, quasi-Frobenius rings have been extensively studied.
Hannula, T.A
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Modular frobenius manifolds and their invariant flows [PDF]
, 2010 The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map I which sends a Frobenius manifold to another Frobenius manifold.
I. A. B. Strachan +3 more
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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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Linear free divisors and Frobenius manifolds [PDF]
, 2009 We study linear functions on fibrations whose central fibre is a linear free divisor. We analyse the Gauß–Manin system associated to these functions, and prove the existence of a primitive and homogenous form.
Mond, David +3 more
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Injective classical quotient rings of polynomial rings are quasi-Frobenius [PDF]
, 1993 The left classical ring of quotients of the polynomial ring Qlcl(R[X]) over an infinite set X is right or left self-injective iff it is quasi-Frobenius iff Qlcl(R) is quasi-Frobenius.
Pillay, Poobhalan +3 more
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