Results 101 to 110 of about 1,616,014 (220)

Cauchy identities for staircase matrices

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The well‐known Cauchy identity expresses the product of terms (1−xiyj)−1${(1-{x}_{i}{y}_{j})}^{-1}$ for (i,j)$(i,j)$ indexing entries of a rectangular m×n$m\ensuremath{\times{}}n$‐matrix as a sum over partitions λ$\lambda $ of products of Schur polynomials: sλ(x)sλ(y)${s}_{\lambda}(x){s}_{\lambda}(y)$.
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi   +2 more
wiley   +1 more source

Poincaré duality in Hochschild (co)homology [PDF]

, 2006
These are notes on van den Bergh’s analogue of Poincar´e duality in Hochschild (co)homology [VdB98]. They are based on survey talks that I gave in 2006 in G¨ottingen, Cambridge and Warsaw and consist of an elementary explanation of the proof in terms ...
Kraehmer, U.
core   +2 more sources

Cartwright–Sturmfels Hilbert schemes

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
wiley   +1 more source

Commutative Rings Behind Divisible Residuated Lattices

Mathematics
Divisible residuated lattices are algebraic structures corresponding to a more comprehensive logic than Hajek’s basic logic with an important significance in the study of fuzzy logic.
Cristina Flaut, Dana Piciu
doaj   +1 more source

On the groups of units of finite commutative chain rings

Finite Fields and Their Applications, 2003
A commutative chain ring is a commutative ring whose ideals form a chain under set theoretic inclusion. Let \(M\) be the maximal ideal of a finite commutative chain ring \(R\) with characteristic \(p^n\), then \(R/M\) is a finite field, say \(R/M \cong \text{GF}(p^r)\), and \(pR=M^e\), \(e \leq s\), where \(s\) is the nilpotency of \(M\).
Hou, Xiang-Dong, Leung, Ka Hin, Ma, Siu Lun   +2 more
openaire   +1 more source

h$h$‐Function, Hilbert–Kunz density function and Frobenius–Poincaré function

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract Given ideals I,J$I,J$ of a noetherian local ring (R,m)$(R, \mathfrak {m})$ such that I+J$I+J$ is m$\mathfrak {m}$‐primary and a finitely generated R$R$‐module M$M$, we associate an invariant of (M,R,I,J)$(M,R,I,J)$ called the h$h$‐function.
Cheng Meng, Alapan Mukhopadhyay
wiley   +1 more source

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  

Commutative Bezout domains in which any nonzero prime ideal is contained in a finite set of maximal ideals

Karpatsʹkì Matematičnì Publìkacìï, 2018
We investigate   commutative Bezout domains in which any nonzero prime  ideal is contained in a finite set of maximal ideals. In particular, we have described the class of such rings, which are  elementary divisor rings.
B.V. Zabavsky, O.M. Romaniv
doaj   +1 more source

On the integral simplicial volume of cyclic covers of mapping tori

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract In this paper, we investigate the asymptotic behavior of the integral simplicial volume of cyclic covers of manifolds that fiber over the circle with fiber given by an n$n$‐dimensional torus. By studying the integral filling volume—an invariant introduced by Frigerio and the first author—for the monodromy, we establish both lower and upper ...
Federica Bertolotti, Ervin Hadžiosmanović   +1 more
wiley   +1 more source

SOME REMARKS ON WEAKLY S-LASKERIAN MODULES [PDF]

Journal of Algebraic Systems
The rings considered in this paper are commutative with identity and the modules considered are modules over commutative rings and are unitary. We use R to denote a ring, S to denote a multiplicatively closed subset of R, and M to denote a module over R.
Subramanian Visweswaran
doaj   +1 more source