Results 81 to 90 of about 1,656,517 (200)

Commutative QF-1 rings [PDF]

, 1974
Ringel CM. Commutative QF-1 rings. Proceedings of the American Mathematical Society. 1974;42(2):365-368.If R is a commutative artinian ring, then it is known that every faithful R-module is balanced (i.e.
Ringel, Claus Michael
core  

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

Commutative periodic semigroups with the ideal retraction property

, 2008
This paper presents a complete characterization of commutative periodic semigroups with the ideal retraction property. These semigroups are those with the property that each ideal is a homomorphic retraction of the semigroup.
J. A. Hildebrant, J. A. Dumesnil, K. D. Aucoin, Communicated J. D. Lawson   +3 more
core  

Non-commutative reduction rings [PDF]

, 1999
Reduction relations are means to express congruences on rings. In the special case of congruences induced by ideals in commutative polynomial rings, the powerful tool of Gröbner bases can be characterized by properties of reduction relations associated ...
Birgit Reinert, Madlener, Klaus, Klaus Madlener, Reinert, Birgit   +3 more
core  

On the automorphisms of the power semigroups of a numerical semigroup

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley   +1 more source

Simple Proofs for Bochner-Schoenberg-Eberlein and the Bochner-Schoenberg-Eberlein Module Properties on ℓpX,A

Journal of Function Spaces
Let X be a nonempty set, A be a commutative Banach algebra, and 1 ...
Shirin Tavkoli, Rasoul Abazari, Ali Jabbari   +2 more
doaj   +1 more source

Some strange behaviors of the power series ring R[[X]]

ITM Web of Conferences, 2018
Let R be a commutative ring with identity. Let R[X] and R[[X]] be the polynomial ring and the power series ring respectively over R. Being the completion of R[X] (under the X-adic topology), R[[X]] does not always share the same property with R[X].
Phan Thanh Toan
doaj   +1 more source

Commutative Periodic Semigroups With the Ideal Retraction Property

, 2002
This paper presents a complete characterization of commutative periodic semigroups with the ideal retraction ...
J. A. Hildebrant, J. A. Dumesnil, K. D. Aucoin, Communicated J. D. Lawson   +3 more
core  

Local multiplicativity of perverse filtrations

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley   +1 more source