Results 81 to 90 of about 7,471 (180)
An Introduction to i-Commutative Rings
MathematicsIn this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad +3 more
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All Regular-Solid Varieties of Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2017 The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties of semirings.
Hounnon Hippolyte
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Optimal bounds for local volumes of threefold singularities
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract We establish an optimal upper bound for local volumes of Gorenstein canonical non‐hypersurface threefold singularities. Specifically, we show that a klt threefold singularity with local volume at least 9 is either a hypersurface singularity or a quotient singularity.
Yuchen Liu
wiley +1 more source
Paraunitary matrices and group rings [PDF]
International Journal of Group Theory, 2014 Design methods for paraunitary matrices from complete orthogonal sets of idempotents and related matrix structuresare presented. These include techniques for designing non-separable multidimensional paraunitary matrices.
Barry Hurley, Ted Hurley
doaj
The diagonal dimension of sub‐C∗$\mathrm{C}^*$‐algebras
Proceedings of the London Mathematical Society, Volume 133, Issue 4, October 2026.Abstract We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C∗$\text{sub-}\mathrm{C}^*$‐algebras (sometimes also referred to as diagonal C∗$\mathrm{C}^*$‐pairs). Our concept has good permanence properties and detects more refined information than nuclear dimension.
Kang Li +2 more
wiley +1 more source
Graph of Orthogonal Idempotent Elements in Rings of Integers Modulo n With Spectral Clustering
Journal of MathematicsThe zero-divisor graph provides a relationship between abstract algebra and graph theory. Based on this concept, a new graph is defined using the orthogonal idempotent elements in a ring.
Shaimaa H. Ahmad +3 more
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Structure theorems for idempotent residuated lattices [PDF]
, 2020 In this paper we study structural properties of residuated lattices that are idempotent as monoids. We provide descriptions of the totally ordered members of this class and obtain counting theorems for the number of finite algebras in various subclasses.
Jipsen, Peter +3 more
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Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, Volume 299, Issue 9, Page 2472-2494, September 2026.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
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On commutative idempotent rings
, 1995 We study the problem when a ring which is an extension of a commutative idempotent ring by a commutative idempotent ring is commutative. In particular, we answer Sands' question showing that the class of commutative idempotent rings whose every ...
E. R. Puczyłowski, R. R. Andruszkiewicz
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Advances in large DNA fragment assembly for microbial cell factory engineering
Quantitative Biology, Volume 14, Issue 3, September 2026.Abstract The efficient, rapid, and reliable assembly of DNA fragments is essential for advancing metabolic engineering and synthetic biology. With the rapid advancement of DNA synthesis and assembly technologies, the scale of DNA assembly has expanded from single genes to metabolic pathways and even genomes.
Yu Zhang +5 more
wiley +1 more source