Results 61 to 70 of about 35,172 (254)
Realizable sets of catenary degrees of numerical monoids
, 2017 The catenary degree is an invariant that measures the distance between factorizations of elements within an atomic monoid. In this paper, we classify which finite subsets of $\mathbb Z_{\ge 0}$ occur as the set of catenary degrees of a numerical monoid ...
O'Neill, Christopher, Pelayo, Roberto
core +1 more source
On Endomorphisms of the Additive Monoid of Subnets of a Two-layer Neural Network
Известия Иркутского государственного университета: Серия "Математика", 2022 Previously, for each multilayer neural network of direct signal propagation (hereinafter, simply a neural network), finite commutative groupoids were introduced, which were called additive subnet groupoids.
Andrey Litavrin
doaj +1 more source
Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
wiley +1 more source
Regularity and Products of Idemopotents in Endmorphism Monoids of Projective Acts [PDF]
, 1995 That the monoid of all transformations of any set and the monoid of all endomorphisms of any vector space over a division ring are regular (in the sense of von Neumann) has been known for many years (see [6] and [16], respectively).
Bulman-Fleming, Sydney
core +1 more source
Algebras and Representation Theory, 2016 43 pages; v2 minor revisions and additions, now 48 ...
Böhm, Gabriella, Lack, Stephen
openaire +2 more sources
The log Grothendieck ring of varieties
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross +4 more
wiley +1 more source
On residually finite semigroups of cellullar automata [PDF]
International Journal of Group Theory, 2015 We prove that if M is a monoid and A a finite set with more than one element, then the residual finiteness of M is equivalent to that of the monoid consisting of all cellular automata over M with alphabet A .
Tullio Ceccherini-Silberstein +1 more
doaj
A Levi–Civita Equation on Monoids, Two Ways
Annales Mathematicae Silesianae, 2022 We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
doaj +1 more source
International Journal of Algebra and ComputationWe introduce an interesting class of left adequate monoids which we call pretzel monoids. These, on the one hand, are monoids of birooted graphs with respect to a natural ‘glue-and-fold’ operation, and on the other hand, are shown to be defined in the category of left adequate monoids by a natural class of presentations.
Daniel Heath +2 more
openaire +4 more sources
Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley +1 more source