Showing papers in "Journal of Pure and Applied Algebra in 2022"

TL;DR: In this article, a complete description of the primary degenerations and non-degenerations between the 3-dimensional nilpotent algebras, the 4-dimensional commutative algesbras and the 5-dimensional non-nilpotent antic-commodity algesbraes over C is given.

TL;DR: In this paper , the authors give a complete description of degenerations of low-dimensional nilpotent Jordan algebras, and correct several mistakes from the paper 'Contractions of lowdimensional nil-potent Jordanian algesbras' by Ancochea Berm\'{u}dez, Fres\'{a}n and Margalef Bentabol.

TL;DR: The twisted Steinberg algebras over a commutative unital ring were introduced in this article, where they generalise Steinberg algebra and are a purely algebraic analogue of Renault's twisted groupoid C*-algesas.

TL;DR: In this paper, the τ-tilting finiteness of Schur algebras over an algebraically closed field of arbitrary characteristic has been determined, except for a few small cases.

TL;DR: In this article, it was shown that the Gelfand duality between commutative von Neumann algebras and compact Hausdorff topological spaces is equivalent.

TL;DR: In this article, it was shown that every class of the divisor class group of a Krull monoid algebra contains infinitely many prime divisors, which is a complete proof of this fact.

TL;DR: In this paper , the authors give a systematic analysis of the bi-skew brace constructions and give several new examples of brace blocks, which are defined by A. N. Koch to be families of group operations on a given set such that any two of them yield a skew brace.

TL;DR: In this paper, some σ-subnormality criteria for subgroups of finite groups are studied, where σ is the partition of P into sets containing exactly one prime each.

TL;DR: Rangaswamy et al. as mentioned in this paper presented a new class of graded irreducible representations of a Leavitt path algebra, which is new in the sense that its representation space is not isomorphic to any of the existing simple Chen modules.

TL;DR: In this article, a generalization of pseudo-Frobenius numbers of numerical semigroups to the context of simplicial affine semiigroups is presented. But the authors do not define the type of S, type (S ), in terms of some Apery sets of S and show that it coincides with the Cohen-Macaulay type of the semigroup ring, when K [ S ] is Cohen-MACaulay.

TL;DR: In this paper, the Morrison-Kawamata cone conjecture for Calabi-Yau threefold X of Picard number two in certain P r -ruled Fano manifold was verified.

TL;DR: In this paper, the authors consider orthogonality spaces with the additional property that any collection of mutually orthogonal elements gives rise to the structure of a Boolean algebra, and they show that the morphisms of E O S are induced by generalised semi-unitary mappings.

TL;DR: In this paper, it was shown that the resurgence and asymptotic resurgence attain their maximal values simultaneously, if at all, which is a conjecture of E. Guardo, B. Harbourne and A. Van Tuyl.

TL;DR: In this paper , the fiber of the continuous map PH on the space of filters that assign to a filter f:K→R the total barcode of its associated sublevel set filtration of K is analyzed.

TL;DR: In this article , a generalization of pseudo-Frobenius numbers of numerical semigroups to the context of simplicial affine semiigroups is presented. But the authors do not define the type of S, type(S), in terms of some Apéry sets of S and show that it coincides with the Cohen-Macaulay type of the semigroup ring, when K[S] is Cohen-MACaulay.

TL;DR: In this paper, the authors present a dynamical solution by which transfinite reasoning can be avoided, and illustrate this constructive method with concrete examples, and give a combinatorial explanation by relating the Zariski lattice to a certain inductively generated class of finite binary trees.

TL;DR: In this article, the Castelnuovo-Mumford regularity of ordinary powers, integral closure of powers and symbolic powers of square-free monomial ideals is investigated.

TL;DR: In this article , the authors show how an endomorphism of G with abelian image gives rise to a family of binary operations on G such that (G, ∘m,∘n) is a skew left brace for all m,n≥0.

TL;DR: In this article, the Picard number of a smooth, complex Fano 4-fold and its Picard number ρ X = 5, 6 was classified for the case where ρ x = 5 ; there are 6 families, among which one is new.

TL;DR: In this paper , the Picard number of a smooth, complex Fano 4-fold and its Picard number ρ X = 5, 6, and ρ D = 2 was shown to be a product of del Pezzo surfaces.

TL;DR: In this paper , the complete algebraic and geometric classification of complex 5-dimensional Zinbiel algebras has been studied, and it has been proved that the variety of complex five-dimensional ZZs has dimension 24, it is defined by 16 irreducible components, and 11 rigid ZZbels have 11 rigid components.

TL;DR: In this article, it was shown that T is a tilting module if and only if Ext Λ i (T, Fac T ) = 0 for all i ≥ 1, where Fac T is the full subcategory consisting of modules generated by T.

TL;DR: In this paper , it was shown that every class of the divisor class group of a Krull monoid algebra contains infinitely many prime divisors, which is a complete proof of this fact.

TL;DR: In this article, the authors studied skew left braces (G, ⋅, ∘ ) for which a given homomorphism λ : ( G, ∆ ) → Aut ( G, ⋆ ) gives rise to a skew left brace, which is called λ-homomorphic.

TL;DR: In this article , the authors considered homological approximations using interval resolutions, and showed that the interval resolution global dimension is finite for finite posets and that it is equal to the maximum of the interval dimensions of the Auslander-Reiten translates.

TL;DR: In this article, it was shown that given C a presentably symmetric monoidal ∞-category, and any essentially small O -operad O, the ∞ -category of O -algebras in C is enriched, tensored and cotensored over the presentable symmetric O -coalgebra in C.

TL;DR: In this paper , the full subcategory EOS of normal orthogonality spaces is introduced and the morphisms of EOS are induced by generalised semi-unitary mappings.

TL;DR: In this article , the authors describe the chamber structure of the movable cone for a general smooth complete intersection Calabi-Yau threefold of Picard number two in certain Pr-ruled Fano manifold and hence verify the Morrison-Kawamata cone conjecture for such a manifold.

TL;DR: In this article, a subclass of 3-generated axial algebras of Monster type is enumerated in terms of their groups and shapes, and a method of minimal forbidden configurations is developed to allow us to efficiently recognize and eliminate collapsing shapes.