Results 61 to 70 of about 1,225 (183)
Corrigendum to “Perfect semilattices” [PDF]
B. M. Schein let us know that \(S_ 3\) is not perfect. In fact, it is the smallest non-perfect semilattice. Consequently, Theorem 1 of the paper mentioned in the title [ibid. 32, 23-29 (1985; Zbl 0564.06004)] has to be corrected as follows. Let S be a semilattice. Then the following are equivalent: (1) S is perfect; (4) S is a chain.
Hansoul, G., Varlet, J.
openaire +2 more sources
Some Properties of Hyper Ideals in Hyper Hoop‐Algebras
In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu +5 more
wiley +1 more source
On the Malcev products of some classes of epigroups, I
A semigroup is called an epigroup if some power of each element lies in a subgroup. Under the universal of epigroups, the aim of the paper is devoted to presenting elements in the groupoid together with the multiplication of Malcev products generated by ...
Liu Jingguo
doaj +1 more source
On the Presentation and Cayley Graph of the Bruck–Reilly Idealization Semigroup
Transferring constructions between different algebraic structures often reveals deep connections and enables the application of techniques from one theory to another. The idealization of the module over a ring, introduced by Nagata in 1962, has been a powerful tool in commutative algebra for decades.
Suha Wazzan +3 more
wiley +1 more source
Semilattices with sectional mappings [PDF]
We consider join-semilattices with 1 where for every element p a mapping on the interval [p,1] is defined; these mappings are called sectional mappings and such structures are called semilattices with sectional mappings.
Eigenthaler, Günther, Chajda, Ivan
core +1 more source
Equivariant Hilbert and Ehrhart series under translative group actions
Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley +1 more source
Continuous and dually continuous idempotent L-semimodules [PDF]
We introduce L-idempotent analogues of topological vector spaces by means of domain theory, study their basic properties, and prove the existence of free (dually) continuous L-semi- modules over domains, (dually) continuous lattices and semilattices.
O. R. Nykyforchyn
doaj
On Endomorphism Universality of Sparse Graph Classes
ABSTRACT We show that every commutative idempotent monoid (a.k.a. lattice) is the endomorphism monoid of a subcubic graph. This solves a problem of Babai and Pultr and the degree bound is best‐possible. On the other hand, we show that no class excluding a minor can have all commutative idempotent monoids among its endomorphism monoids. As a by‐product,
Kolja Knauer, Gil Puig i Surroca
wiley +1 more source
Modelling Specialization as BLOOM semilattices [PDF]
. The capabilities of a data model to represent any conceptualization (expressiveness) are very important for faithful modelling. Focusing on the generalization/specialization dimension, unique features of the BLOOM model are presented: specialization ...
Th. Kudrass +6 more
core
A short note on divisible residuated semilattices [PDF]
In this note we prove that divisible residuated semilattices have some specific algebraic properties. We show that: (1) for normal and divisible residuated semilattices representability is equivalent to the existence of a join term, (2) any integral ...
Aglianò, Paolo
core +1 more source

