Results 11 to 20 of about 312,361 (176)
Frobenius Local Rings of Order p4m
SymmetrySuppose R is a finite commutative local ring, then it is known that R has four positive integers p,n,m,k called the invariants of R, where p is a prime number. This paper investigates the structure and classification up to isomorphism of local rings with residue field Fpm and of length 4.
Alhanouf Ali Alhomaidhi +2 more
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Stabilizer codes over Frobenius rings [PDF]
2012 IEEE International Symposium on Information Theory Proceedings, 2012 Quantum error-correcting codes over finite fields have been widely studied, but quantum codes over rings have been left largely unexplored. This paper introduces stabilizer codes over finite Frobenius rings and establishes their connection to classical code. Structural properties of stabilizer codes over finite Frobenius rings are established.
Sushma Nadella, Andreas Klappenecker
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Some results on quasi-Frobenius rings [PDF]
Commentationes Mathematicae Universitatis Carolinae, 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 results on quasi-Frobenius rings.
Zhu, Zhanmin
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Frobenius Local Rings of Length 5 and Index of Nilpotency 3
MathematicsThis paper investigates finite local non-chain rings associated by the well-known invariants p,n,m,l, and k, where p is a prime number. In particular, we provide a comprehensive characterization of Frobenius local rings of length l=5 and index of ...
Sami Alabiad, Alhanouf Ali Alhomaidhi
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Partitions of Frobenius rings induced by the homogeneous weight
Advances in Mathematics of Communications, 2014 The values of the homogeneous weight are determined for finite Frobenius rings that are a direct product of local Frobenius rings. This is used to investigate the partition induced by this weight and its dual partition under character-theoretic dualization.
Heide Gluesing-Luerssen
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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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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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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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A note on quasi-Frobenius rings [PDF]
Pacific Journal of Mathematics, 1968 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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