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Symbolic powers of cover ideals of graphs and Koszul property

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021; 31 (05)

We show that attaching a whisker (or a pendant) at the vertices of a cycle cover of a graph results in a new graph with the following property: all sy......

tau-Tilting modules over triangular matrix artin algebras

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021; 31 (04)

Let Lambda and Gamma be artin algebras and T := ((Lambda)(M)(0)(Gamma)) the triangular matrix algebra with M a finitely generated (Lambda, Gamma)-bimo......

Tilting modules over Auslander algebras of Nakayama algebras with radical cube zero

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021; 31 (02)

Let A ' be the Auslander algebra of a finite-dimensional basic connected Nakayama algebra A with radical cube zero and n simple modules. Then the card......

Representations of omega-Lie algebras and tailed derivations of Lie algebras

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021; 31 (02)

We study the representation theory of finite-dimensional omega-Lie algebras over the complex field. We derive an omega-Lie version of the classical Li......

Holonomic modules for rings of invariant differential operators

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021; 31 (04)

We study holonomic modules for the rings of invariant differential operators on affine commutative domains with finite Krull dimension with respect to......

Deformed higher rank Heisenberg-Virasoro algebras

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021; 31 (03)

In this paper, we study a class of infinitesimal deformations of the centerless higher rank Heisenberg-Virasoro algebras. Explicitly, the universal ce......

Automata groups generated by Cayley machines of groups of nilpotency class two

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2021; 31 (05)

We build presentations for automata groups generated by Cayley machines of finite groups of nilpotency class two and prove that these automata groups ......

Retractability of solutions to the Yang-Baxter equation and p-nilpotency of skew braces

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2020; 30 (1)

Using Bieberbach groups, we study multipermutation involutive solutions to the Yang-Baxter equation. We use a linear representation of the structure g......

On the solvability of regular subgroups in the holomorph of a finite solvable group

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2020; 30 (2)

We exhibit infinitely many natural numbers n for which there exists at least one insolvable group of order n, and yet the holomorph of every solvable ......

Free Gelfand-Dorfman-Novikov superalgebras and a Poincare-Birkhoff-Witt type theorem

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019; 29 (3)

We construct linear bases of free Gelfand-Dorfman-Novikov (GDN) superalgebras. As applications, we prove a Poincare-Birkhoff-Witt (PBW) type theorem, ......

JIF:0.42

Minimal non-QS-groups

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019; 29 (4)

A finite group G is called a QS-group if every proper subgroup of G is either quasi-normal or self-normal in G. In this paper, the authors classify th......

JIF:0.42

Minimal right determiners of irreducible morphisms in tree string algebras

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019; 29 (6)

Let. be a finite dimensional string algebra over a field with the quiver Q such that the underlying graph of Q is a tree, and let vertical bar Det(Lam......

JIF:0.42

The fundamental groups of Galois covers of planar Zappatic deformations of type E-k

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019; 29 (6)

In this paper, we investigate the fundamental groups of Galois covers of planar Zappatic deformations of type E-k. Using Moishezon-Teicher's algorithm......

JIF:0.42

Super-biderivations and linear super-commuting maps on the twisted N=2 superconformal algebra

期刊: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2019; 29 (7)

In this paper, we will first determine all the super-skewsymmetric super-biderivations of the twisted N = 2 superconformal algebra L, and prove that e......

JIF:0.42

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