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Algebra and Discrete Mathematics, 2020, Vol. 29, Vol. 30
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Algebra and Discrete Mathematics, 2020, Vol. 29, № 2
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Перегляд Algebra and Discrete Mathematics, 2020, Vol. 29, № 2 за датою випуску

Перегляд Algebra and Discrete Mathematics, 2020, Vol. 29, № 2 за датою випуску

Результати 1-13 з 13

Poisson brackets on some skew PBW extensions

Zambrano, B.A. (Algebra and Discrete Mathematics, 2020)

In [1] the author gives a description of Poisson brackets on some algebras of quantum polynomials Oq, which is called the general algebra of quantum polynomials. The main of this paper is to present a generalization of [1] ...
Elementary reduction of matrices over rings of almost stable range 1

Zabavsky, B.; Romaniv, A.; Kysil, T. (Algebra and Discrete Mathematics, 2020)

In this paper we consider elementary reduction of matrices over rings of almost stable range 1.
Norm of Gaussian integers in arithmetical progressions and narrow sectors

Varbanets, S.; Vorobyov, Y. (Algebra and Discrete Mathematics, 2020)

We proved the equidistribution of the Gaussian integer numbers in narrow sectors of the circle of radius x¹/² , x → ∞, with the norms belonging to arithmetic progression N(α) ≡ ℓ (mod q) with the common difference of an ...
On a common generalization of symmetric rings and quasi duo rings

Subedi, T.; Roy, D. (Algebra and Discrete Mathematics, 2020)

Let J(R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a, b, c ∈ R, abc = 0 implies bac ∈ J(R). It turns out that J-symmetric rings are a common generalization of left (right) quasi-duo ...
Normal high order elements in finite field extensions based on the cyclotomic polynomials

Popovych, R.; Skuratovskii, R. (Algebra and Discrete Mathematics, 2020)

We consider elements which are both of high multiplicative order and normal in extensions Fqm of the field Fq. If the extension is defined by a cyclotomic polynomial, we construct such elements explicitly and give explicit ...
Uniformly 2-absorbing primary ideals of commutative rings

Mostafanasab, H.; Tekir, Ü.; Ulucak, G. (Algebra and Discrete Mathematics, 2020)

In this study, we introduce the concept of “uniformly 2-absorbing primary ideals” of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. ...
Attached primes and annihilators of top local cohomology modules defined by a pair of ideals

Karimi, S.; Payrovi, Sh. (Algebra and Discrete Mathematics, 2020)
The containment poset of type A Hessenberg varieties

Drellich, E. (Algebra and Discrete Mathematics, 2020)

Flag varieties are well-known algebraic varieties with many important geometric, combinatorial, and representation theoretic properties. A Hessenberg variety is a subvariety of a flag variety identified by two parameters: ...
On the structure of Leibniz algebras whose subalgebras are ideals or core-free

Chupordia, V.A.; Kurdachenko, L.A.; Semko, N.N. (Algebra and Discrete Mathematics, 2020)

An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra) if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]]−[b, [a, c]] for all a, b, c ∊ L. Leibniz algebras are ...
Morita equivalent unital locally matrix algebras

Bezushchak, O.; Oliynyk, B. (Algebra and Discrete Mathematics, 2020)

We describe Morita equivalence of unital locally matrix algebras in terms of their Steinitz parametrization. Two countable-dimensional unital locally matrix algebras are Morita equivalent if and only if their Steinitz ...
Generalized 2-absorbing and strongly generalized 2-absorbing second submodules

‎Ansari-Toroghy, H.; Farshadifar, F.; ‎Maleki-Roudposhti, S. (Algebra and Discrete Mathematics, 2020)

In this paper, we will introduce the concepts of generalized 2-absorbing and strongly generalized 2-absorbing second submodules of modules over a commutative ring and obtain some related results.
Computing bounds for the general sum-connectivity index of some graph operations

Akhter, S.; Farooq, R. (Algebra and Discrete Mathematics, 2020)

In this paper, we compute the bounds for general sum-connectivity index of several graph operations. These operations include corona product, cartesian product, strong product, composition, join, disjunction and symmetric ...
Igor Ya. Subbotin (dedicated to 70th Birthday)

Автор відсутній (Algebra and Discrete Mathematics, 2020)

On March 25, 2020, Professor Igor Ya. Subbotin turned 70.

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Перегляд Algebra and Discrete Mathematics, 2020, Vol. 29, № 2 за датою випуску

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Перегляд Algebra and Discrete Mathematics, 2020, Vol. 29, № 2 за датою випуску

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