Results 41 to 50 of about 31,145 (240)

Monoidal Categories Enriched in Braided Monoidal Categories [PDF]

International Mathematics Research Notices, 2017
AbstractWe introduce the notion of a monoidal category enriched in a braided monoidal category $\mathcal{V}$. We set up the basic theory, and prove a classification result in terms of braided oplax monoidal functors to the Drinfeld centre of some monoidal category $\mathcal{T}$.Even the basic theory is interesting; it shares many characteristics with ...
Morrison, Scott, Penneys, David
openaire   +2 more sources

Simplicity of Ore monoid rings [PDF]

Journal of Algebra, 2017
Given a non-associative unital ring R, a monoid G and a set π of additive maps R→R, we introduce the Ore monoid ring R[π;G], and, in a special case, the differential monoid ring.
Patrik Nystedt, Johan Öinert, J. Richter   +2 more
semanticscholar   +1 more source

Lossy gossip and composition of metrics [PDF]

, 2014
We study the monoid generated by n-by-n distance matrices under tropical (or min-plus) multiplication. Using the tropical geometry of the orthogonal group, we prove that this monoid is a finite polyhedral fan of dimension n(n-1)/2, and we compute the ...
Brouwer, Andries E., Draisma, Jan, Frenk, Bart J.   +2 more
core   +4 more sources

Kauffman Monoids

Journal of Knot Theory and Its Ramifications, 2002
This paper gives a self-contained and complete proof of the isomorphism of freely generated monoids extracted from Temperley-Lieb algebras with monoids made of Kauffman's diagrams.
Borisavljević, Mirjana, Došen, Kosta, Petrić, Zoran   +2 more
openaire   +2 more sources

THE IDEMPOTENT-GENERATED SUBSEMIGROUP OF THE KAUFFMAN MONOID [PDF]

Glasgow Mathematical Journal, 2016
We characterise the elements of the (maximum) idempotent-generated subsemigroup of the Kauffman monoid in terms of combinatorial data associated with certain normal forms.
I. Dolinka, J. East
semanticscholar   +1 more source

Algebraic and combinatorial structures on Baxter permutations [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We give a new construction of a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (\emphi.e.
Samuele Giraudo
doaj   +1 more source

TRIANGULAR MATRIX REPRESENTATIONS OF SKEW MONOID RINGS [PDF]

, 2010
Let R be a ring and S a u.p.-monoid. Assume that there is a monoid homomorphism α : S → Aut (R). Suppose that α is weakly　rigid and lR(Ra) is pure as a left ideal of R for every element a ∈ R.
Xiaoyan, Yang, Zhongkui, Liu
core   +1 more source

Unicyclic Graphs Whose Completely Regular Endomorphisms form a Monoid

Mathematics, 2020
In this paper, completely regular endomorphisms of unicyclic graphs are explored. Let G be a unicyclic graph and let c E n d ( G ) be the set of all completely regular endomorphisms of G.
Rui Gu, Hailong Hou
doaj   +1 more source

Finite coverings of semigroups and related structures [PDF]

International Journal of Group Theory, 2023
For a semigroup $S$, the covering number of $S$ with respect to semigroups, $\sigma_s(S)$, is the minimum number of proper subsemigroups of $S$ whose union is $S$.
Casey Donoven, Luise-Charlotte Kappe
doaj   +1 more source

Identities in upper triangular tropical matrix semigroups and the bicyclic monoid [PDF]

, 2016
We establish necessary and sufficient conditions for a semigroup identity to hold in the monoid of n × n upper triangular tropical matrices, in terms of equivalence of certain tropical polynomials.
L. Daviaud, Marianne Johnson, Mark Kambites   +2 more
semanticscholar   +1 more source