Results 11 to 20 of about 203 (52)
Domain theory and mirror properties in inverse semigroups [PDF]
, 2012 Inverse semigroups are a class of semigroups whose structure induces a compatible partial order. This partial order is examined so as to establish mirror properties between an inverse semigroup and the semilattice of its idempotent elements, such as ...
Poncet, Paul
core +3 more sources
Representation of algebraic distributive lattices with $\aleph_1$ compact elements as ideal lattices of regular rings [PDF]
, 2000 We prove the following result: Theorem. Every algebraic distributive lattice $D$ with at most $\aleph _1$ compact elements is isomorphic to the ideal lattice of a von Neumann regular ring $R$.
Wehrung, F.
core +6 more sources
Finite semilattices with many congruences [PDF]
, 2018 For an integer $n\geq 2$, let NCSL$(n)$ denote the set of sizes of congruence lattices of $n$-element semilattices. We find the four largest numbers belonging to NCSL$(n)$, provided that $n$ is large enough to ensure that $|$NCSL$(n)|\geq 4$. Furthermore,
Czédli, Gábor
core +2 more sources
The endomorphism semiring of a semilattice [PDF]
, 2009 We prove that the endomorphism semiring of a nontrivial semilattice is always subdirectly irreducible and describe its monolith. The endomorphism semiring is congruence simple if and only if the semilattice has both a least and a largest ...
Jezek, J., Kepka, T., Maróti, Miklós
core +1 more source
Directly Indecomposables in Semidegenerate Varieties of Connected po-Groupoids
, 2008 We study varieties with a term-definable poset structure, "po-groupoids". It is known that connected posets have the "strict refinement property" (SRP).
D. Vaggione +8 more
core +1 more source
Tail and free poset algebras. [PDF]
, 2004 We characterize free poset algebras F(P) over partially ordered sets and show that they can be represented by upper semi-lattice algebras. Hence, the uniqueness, in decomposition into normal form, using symmetric difference, of non-zero elements of F(P ...
Bekkali, Mohamed, Zhani, Driss
core +2 more sources
Semilattices of finitely generated ideals of exchange rings with finite stable rank
, 2004 We find a distributive (v, 0, 1)-semilattice S of size $ aleph\_1$ that is not isomorphic to the maximal semilattice quotient of any Riesz monoid endowed with an order-unit of finite stable rank.
Wehrung, Friedrich
core +5 more sources
Hyperdeterminants on semilattices [PDF]
, 2006 We compute hyperdeterminants of hypermatrices whose indices belongs in a meet-semilattice and whose entries depend only of the greatest lower bound of the indices. One shows that an elementary expansion of such a polynomial allows to generalize a theorem
Luque, Jean-Gabriel
core +4 more sources
Purely infinite crossed products by endomorphisms [PDF]
, 2013 We study the crossed product $C^*$-algebra associated to injective endomorphisms, which turns out to be equivalent to study the crossed product by the dilated autormorphism.
Eduard Ortega +3 more
core
Multifraction reduction III: The case of interval monoids
, 2016 We investigate gcd-monoids, which are cancellative monoids in which any two elements admit a left and a right gcd, and the associated reduction of multifractions (arXiv:1606.08991 and 1606.08995), a general approach to the word problem for the enveloping
Dehornoy, Patrick, Wehrung, Friedrich
core +2 more sources