Showing papers in "Journal of Algebra in 2015"

TL;DR: In this paper, the authors studied the relationship between the σ-subnormal subgroups of a finite group and the subgroup chains of a subgroup A of G such that either Ai−1 is normal in Ai or Ai/(Ai−1)Ai is σprimary for all i=1, etc.

TL;DR: In this paper, it was shown that any stack which is etale-locally a global quotient stack can be approximated by a noetherian scheme (resp. algebraic space, resp. stack).

TL;DR: The CHEVIE package as discussed by the authors allows transforming the theories of Coxeter groups, reductive algebraic groups, complex reflection groups, Hecke algebras, braid monoids, etc.

TL;DR: In this paper, the authors give the minimal definitions of addition and multiplication that turn the ordinals into a Field of characteristic p, for any prime p. They then analyze the structure of the resulting Field, which they will call On_p.

TL;DR: In this article, the authors studied the problem of taking tensor product with a simple finite dimensional module and derived an explicit formula for taking a tensor with a single finite-dimensional module.

TL;DR: In this article, the first non-associative case, where adjoint minimal polynomials divide ( x − 1 ) x (x − η ) for fixed 0 ≠ η ≠ 1.

TL;DR: In this article, the authors studied the non-uniqueness of factorizations of non zero-divisors into atoms (irreducibles) in non-commutative rings.

TL;DR: In this article, it was shown that the Brauer graph algebra gives rise, via admissible cuts, to many gentle algebras and that the trivial extension of a gentle algebra obtained via an admissible cut is the original Brauer algebra.

TL;DR: In this paper, the resurgence and asymptotic resurgence invariants of symbolic powers of ideals have been studied in algebraic geometry and commutative algebra, with a notable recent focus on containment relations between symbolic powers and ordinary powers.

TL;DR: A complete classification of Belyi functions for transforming certain hypergeometric equations to Heun equations is given in this paper, where two efficient algorithms that exploit the implied pull-back transformations are developed.

TL;DR: In this article, the authors classify the modules over W n + and W n n which are free U ( h n ) -modules of rank 1. And they show that the modules of W n+ are the W n -modules for some Λ n ∈ ( C ⁎ ) n and some a ∈ C.

TL;DR: In this article, a construction of the universal Frobenius axial algebra on n generators with specified fusion rules is given, of which all n-generated axial algebras with the same fusion rules are quotients.

TL;DR: In this article, the arithmetic of weakly Krull monoids with finite class group and prime divisors was studied, and it was shown that unions of sets of lengths are intervals and a characterization of halffactoriality was given.

TL;DR: In this article, it was shown that every Cameron-Walker graph G is a Cohen-Macaulay graph if and only if it is a Cameron-walkers and if G is neither a star nor a star triangle.

TL;DR: In this paper, the concept of weakly nil clean commutative rings was introduced, which generalizes Diesel's [11] notion of a nil-clean ring, and the Nagata ring and the group ring are shown to be clean.

TL;DR: For a simple module M over the positive part of the Virasoro algebra and any α ∈ C, a class of weight modules N (M, α ) over the Virrasoro algebra is constructed in this paper.

TL;DR: In this article, it was shown that under some mild conditions, an L ∞ quasi-isomorphism U : L → L ˜ induces a weak equivalence between the Deligne-Getzler-Hinich (DGH) ∞-groupoids corresponding to L and L ǫ, respectively.

TL;DR: In this article, a proper subgroup H of G is said to be large if the order of H satisfies the bound |H | 3 ⩾ | G |, where G is a finite group.

TL;DR: In this paper, it was shown that every Plactic algebra of finite rank admits a finite Grobner-Shirshov basis, which is proved by using the combinatorial properties of Young tableaux to construct a finite complete rewriting system for the corresponding Plactic monoid.

TL;DR: In this article, it was shown that a finite group G isospectral to L cannot have a nonabelian composition factor which is a group of Lie type defined over a field of characteristic distinct from p.

TL;DR: In this paper, the authors classify up to isomorphism the quantum generalized Weyl algebras and determine their automorphism groups in all cases in a uniform way, including the case where the parameter q is a root of unity.

TL;DR: In this paper, right lattice-ordered groups are introduced and studied as a general framework for Garside groups and related groups without a garside element, and the modularity of the lattice structure is characterized in terms of an operation on the set X (G − ) of atoms.

TL;DR: In this article, a method to construct bimodule resolutions of associative algebras, generalizing Bardzell's well-known resolution of monomial algesbras is presented.

TL;DR: In this paper, a cohomology theory of groups based on partial actions is developed and its relation with the partial Schur multiplier and inverse semigroups is explored, as well as the relation with partial actions.

TL;DR: In this paper, an SL 2 (Z ) -invariance property of multivariable trace functions on modules for a regular VOA was proved and a proof of the inversion transformation formula for Siegel theta series was provided.

TL;DR: In this paper, the authors represent medial quandles using a heterogeneous affine structure and obtain numerous structural properties, including enumeration of isomorphism classes of medial Quandles up to 13 elements.

TL;DR: In this article, the universal enveloping algebra of Poisson Hopf algebras is studied and the necessary and sufficient conditions for a Poisson polynomial algebra B [ x ; α, δ ] p to be a Hopf Hopf algebra are given.

TL;DR: In this article, the notion of a partial representation of a Hopf algebra is introduced and its relationship with partial actions of Hopf algebras is explored, and the category of partial modules over a hopf algebra H is defined, where the algebra objects in this category are the symmetric partial actions.

TL;DR: In this article, it was shown that for a pair (X,S+B) in characteristic p>0, if (Sn,BSn) is strongly F-regular, then S is normal and X, S+B is purely F-normal near S.

TL;DR: In this paper, the authors construct supercharacters of finite unipotent groups in the orthogonal, symplectic and unitary types, using group actions in a manner analogous to that of Diaconis and Isaacs.