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Communications in Algebra

Subject Areas: Algebra and Number Theory
Publisher: Taylor & Francis - Taylor & Francis
ISSN: 0092-7872
SJR: 62

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Journal Article

A generalization of the lower radical type construction for strict and base radical classes

Cooke, Guy J.; McDougall, Robert G.

2024 Communications in Algebra

doi:10.1080/00927872.2024.2337279

Abstract Regarding the construction of strict and base radical classes for the variety of associative rings, we show that “subring” and “accessible subring” are two of a number of substructures that can be used in constructing a radical class. The substructures we focus on are set properties...
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Journal Article

On superalgebras with pseudoautomorphism of polynomial codimension growth

Giordani, Ginevra

2024 Communications in Algebra

doi:10.1080/00927872.2024.2338493

Abstract Let A be an associative superalgebra endowed with a pseudoautomorphism p. In this paper we generalize the Wedderburn-Malcev Theorem in this setting and we prove that the sequence of p-codimensions of A is polynomially bounded if and only if the variety generated by A does not contain...
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Journal Article

The Hochschild cohomology groups under gluing arrows

Liu, Yuming; Rubio y Degrassi, Lleonard; Wen, Can

2024 Communications in Algebra

doi:10.1080/00927872.2024.2333472

Abstract In a previous paper we have compared the Hochschild cohomology groups of finite dimensional monomial algebras under gluing two idempotents. In the present paper, we compare the Hochschild cohomology groups of finite dimensional monomial algebras under gluing two arrows.
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Journal Article

Recollements and n-cluster tilting subcategories

Long, Taolue; Zhang, Xiaoxiang; Zhou, Yukun

2024 Communications in Algebra

doi:10.1080/00927872.2024.2338489

Abstract In this paper, we study the relationship among three n-cluster tilting subcategories of triangulated categories in a recollement. Let ( D ′ , D , D ″ ) be a recollement of triangulated categories. We construct an n-cluster tilting subcategory of D by gluing together n-cluster tilting...
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Journal Article

Proximal groups: Extension of topological groups. Application in the concise representation of Hilbert envelopes on oscillatory motion waveforms

Tiwari, Surabhi; Peters, J. F.

2024 Communications in Algebra

doi:10.1080/00927872.2024.2334895

Abstract In this paper, we introduce proximal groups that are a generalization of topological groups. A straight-forward application of proximal groups is given in the concise representation of collections of overlapping Hilbert envelope lobes attached to the peak points on oscillatory motion...
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Journal Article

Corrigendum to inner Rickart and Baer Jordan algebras

Arzikulov, F. N.; Khakimov, U. I.

2024 Communications in Algebra

doi:10.1080/00927872.2024.2337270

Abstract In the present paper corrected versions of the statements in the paper “Description of finite-dimensional inner Rickart and Baer Jordan algebras” by F.N. Arzikulov and U.I. Khakimov are given. In particular, it is shown that for any Jordan algebra J with an idempotent p and an...
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Journal Article

Finite p-groups satisfying a weak chain condition

Zhang, Junqiang; Zhang, Qinhai

2024 Communications in Algebra

doi:10.1080/00927872.2024.2337275

Abstract Assume G is an A t -group. G satisfies a weak chain condition if its every A i -subgroup is contained in an A i + 1 -subgroup for all i ⩾ 1 . We study two proper subclasses of the class of the A t -groups satisfying a weak chain condition, and the extreme case of the A t...
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Journal Article

The ring A[X,Y;λ] and the SFT property

Dabbabi, Abdelamir; Benhissi, Ali

2024 Communications in Algebra

doi:10.1080/00927872.2024.2326053

Abstract Let A be a ring and λ : R ≥ 0 → R ≥ 0 be an increasing nonzero function. In this paper, we show that if A is a Noetherian ring with characteristic n ≠ 0 and lim k → + ∞ λ ( k + 1 ) λ ( k ) = + ∞ , then A [ X , Y ; λ ] is an SFT ring. This result allows us to construct a...
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Journal Article

Symbolic defect of monomial ideals

Oltsik, Benjamin

2024 Communications in Algebra

doi:10.1080/00927872.2024.2338215

Abstract Given a monomial ideal I, we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of I. In many cases we determine the asymptotic growth rate of these two functions. We also perform explicit computations by using the symbolic...
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Journal Article

On the exponent of a certain quotient of Whitehead groups of division algebras

Motiee, Mehran

2024 Communications in Algebra

doi:10.1080/00927872.2024.2338222

Abstract Let D be an F-central division algebra. In this paper, we investigated the exponent of the group G ( D ) = D * / Nrd D ( D * ) D ′ , where D * is the group of units of D, Nrd D ( D * ) is the image of D * under the reduced norm map and D ′ is the commutator subgroup of D * . We...

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Communications in Algebra

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