Results 21 to 30 of about 1,263,781 (250)
Lifting Elements in Coherent Quantales [PDF]
Transactions on Fuzzy Sets and Systems, 2022 An ideal I of a ring R is a lifting ideal if the idempotents of R can be lifted modulo I. A rich literature has been dedicated to lifting ideals. Recently, new algebraic and topological results on lifting ideals have been discovered.
George Georgescu
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Binary sequence/array pairs via diference set pairs: A recursive approach [PDF]
Transactions on Combinatorics, 2017 Binary array pairs with optimal/ideal correlation values and their algebraic counterparts textquotedblleft difference set pairstextquotedblright;(DSPs) in abelian groups are studied. In addition to generalizing known 1-dimensional (sequences) examples,
K. T. Arasu, Anika Goyal, Abhishek Puri
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Root polytopes and Abelian ideals [PDF]
Journal of Algebraic Combinatorics, 2013 We study the root polytope $\mathcal P_Φ$ of a finite irreducible crystallographic root system $Φ$ using its relation with the abelian ideals of a Borel subalgebra of a simple Lie algebra with root system $Φ$. We determine the hyperplane arrangement corresponding to the faces of codimension 2 of $\mathcal P_Φ$ and analyze its relation with the facets ...
CELLINI, PAOLA, Mario Marietti
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Gröbner–Shirshov Bases Theory for Trialgebras
Mathematics, 2021 We establish a method of Gröbner–Shirshov bases for trialgebras and show that there is a unique reduced Gröbner–Shirshov basis for every ideal of a free trialgebra.
Juwei Huang, Yuqun Chen
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Cohen-Macaulay type of orders, generators and ideal classes [PDF]
Journal of Algebra, 2022 In this paper we study the (Cohen-Macaulay) type of orders over Dedekind domains in \'etale algebras. We provide a bound for the type, and give formulas to compute it.
S. Marseglia
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Triviality in ideal class groups of Iwasawa-theoretical abelian number fields
Journal of the Mathematical Society of Japan, 2005 Kuniaki HORIE
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The Bruhat order on abelian ideals of Borel subalgebras [PDF]
Transactions of the American Mathematical Society, 2020 Let G G be a quasi-simple algebraic group over an algebraically closed field
Gandini, Jacopo +3 more
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Primary components of the ideal class group of an Iwasawa-theoretical abelian number field
Journal of the Mathematical Society of Japan, 2007 Kuniaki HORIE
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Self-Dual Abelian Codes in Some Nonprincipal Ideal Group Algebras [PDF]
, 2016 The main focus of this paper is the complete enumeration of self-dual abelian codes in nonprincipal ideal group algebras with respect to both the Euclidean and Hermitian inner products, where and are positive integers and is an abelian group of odd order.
Parinyawat Choosuwan +2 more
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Gauge protection in non-abelian lattice gauge theories
New Journal of Physics, 2022 Protection of gauge invariance in experimental realizations of lattice gauge theories based on energy-penalty schemes has recently stimulated impressive efforts both theoretically and in setups of quantum synthetic matter.
Jad C Halimeh +2 more
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