Results 61 to 70 of about 1,137 (186)

Idempotent Noether lattices [PDF]

Proceedings of the American Mathematical Society, 1969
In his paper, Abstract commutative ideal theory [2 ], Dilworth proved that a Noether lattice on which the multiplication is the meet operation is a finite Boolean algebra. This note proves that if the multiplication in a Noether lattice is idempotent (A2= A for all A in the lattice), then the lattice is a finite Boolean algebra.
openaire   +2 more sources

Tate modules as condensed modules

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we characterize the essential image as generated by the free module of infinite countable rank under direct sums, duals and retracts.
Valerio Melani, Hugo Pourcelot, Gabriele Vezzosi   +2 more
wiley   +1 more source

Direct products of cyclic semigroups and left zero semigroups in $\beta\mathbb{N}$ [PDF]

Categories and General Algebraic Structures with Applications
We show that for every $n\in\mathbb{N}$, the direct product of the cyclic semigroup of order $n$ and period $1$ and the left zero semigroup $2^\mathfrak{c}$ has copies in $\beta\mathbb{N}$.
Yuliya Zelenyuk
doaj   +1 more source

On the existence of idempotent liftings [PDF]

Proceedings of the American Mathematical Society, 1989
An existence theorem for idempotent liftings is proved. This implies that every compact measure space with full support and separable measure algebra admits an idempotent lifting.
openaire   +2 more sources

On some integral properties of dimensions in Isaacs fusion categories

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
wiley   +1 more source

Decomposition of Idempotent Operators on Hilbert C*-Modules

Mathematics
This study advances the application of the generalized Halmos’ two projections theorem to idempotent operators on Hilbert C*-modules through a comprehensive study of sums involving adjointable idempotents and their adjoints.
Wei Luo
doaj   +1 more source

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

An Introduction to i-Commutative Rings

Mathematics
In 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, Usama A. Aburawash, Ahmed M. A. El-Sayed, Nour Nabil   +3 more
doaj   +1 more source

The Order of Generalized Hypersubstitutions of Type τ=(2)

International Journal of Mathematics and Mathematical Sciences, 2008
The order of hypersubstitutions, all idempotent elements on the monoid of all hypersubstitutions of type τ=(2) were studied by K. Denecke and Sh. L. Wismath and all idempotent elements on the monoid of all hypersubstitutions of type τ=(2,2) were studied ...
Wattapong Puninagool, Sorasak Leeratanavalee   +1 more
doaj   +1 more source

The general solution to an autoregressive law of motion

Quantitative Economics, Volume 17, Issue 3, Page 791-826, July 2026.
We provide a complete description of the set of all solutions to a vector autoregressive law of motion. Every solution is shown to be the sum of three components, each corresponding to a directed flow of time. One component flows forward from the arbitrarily distant past, one flows backward from the arbitrarily distant future, and one flows outward ...
Brendan K. Beare, Massimo Franchi, Phil Howlett   +2 more
wiley   +1 more source