Results 1 to 10 of about 3,722 (78)

L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras

Journal of Mathematics, 2021
In this paper, we study fuzzy congruence relations and kernel fuzzy ideals of an Ockham algebra A,f, whose truth values are in a complete lattice satisfying the infinite meet distributive law.
Teferi Getachew Alemayehu, Derso Abeje Engidaw, Gezahagne Mulat Addis   +2 more
doaj   +1 more source

Rough sets based on fuzzy ideals in distributive lattices

Open Mathematics, 2020
In this paper, we present a rough set model based on fuzzy ideals of distributive lattices. In fact, we consider a distributive lattice as a universal set and we apply the concept of a fuzzy ideal for definitions of the lower and upper approximations in ...
Yang Yongwei, Zhu Kuanyun, Xin Xiaolong
doaj   +1 more source

On Congruence Compact Monoids [PDF]

, 1999
A universal algebra is called congruence compact if every family of congruence classes with the finite intersection property has a non-empty intersection.
Bulman-Fleming, Sydney
core   +2 more sources

Binomial Ideals and Congruences on Nn [PDF]

, 2018
Producción CientíficaA congruence on Nn is an equivalence relation on Nn that is compatible with the additive structure. If k is a field, and I is a binomial ideal in k[X1,…,Xn] (that is, an ideal generated by polynomials with at most two ...
D Eisenbud, E Briales, G Brookfield, I Ojeda, I Ojeda, L Budach, R Gilmer, T Kahle, T Kahle, T Kahle, ZS Eser   +10 more
core   +1 more source

Lattice congruences of the weak order [PDF]

, 2004
We study the congruence lattice of the poset of regions of a hyperplane arrangement, with particular emphasis on the weak order on a finite Coxeter group.
A. Björner, A. Björner, A. Björner, A. Day, C. Malvenuto, G. Grätzer, I. Chajda, N. Caspard, N. Funayama, N. Reading, N. Reading, N. Reading, N. Reading, Nathan Reading, P. Edelman, P. Orlik, S. Fomin, W. Geyer   +17 more
core   +2 more sources

The Reticulation of a Universal Algebra [PDF]

, 2017
The reticulation of an algebra $A$ is a bounded distributive lattice ${\cal L}(A)$ whose prime spectrum of filters or ideals is homeomorphic to the prime spectrum of congruences of $A$, endowed with the Stone topologies.
Georgescu, George, Mureşan, Claudia
core   +2 more sources

The possible values of critical points between strongly congruence-proper varieties of algebras [PDF]

, 2014
We denote by Conc(A) the semilattice of all finitely generated congruences of an (universal) algebra A, and we define Conc(V) as the class of all isomorphic copies of all Conc(A), for A in V, for any variety V of algebras.
Elliott, Freese, Gillibert, Gillibert, Gillibert, Gillibert, Goodearl, Gorbunov, Grätzer, Hobby, Huhn, Huhn, Huhn, Kearnes, Pierre Gillibert, Ploščica, Ploščica, Ploščica, Ploščica, Ploščica, Růžička, Růžička, Tůma, Wehrung, Wehrung   +24 more
core   +3 more sources

Factorization theory: From commutative to noncommutative settings [PDF]

, 2015
We study the non-uniqueness of factorizations of non zero-divisors into atoms (irreducibles) in noncommutative rings. To do so, we extend concepts from the commutative theory of non-unique factorizations to a noncommutative setting.
Baeth, Nicholas R., Smertnig, Daniel
core   +2 more sources

Random walks on semaphore codes and delay de Bruijn semigroups [PDF]

, 2015
We develop a new approach to random walks on de Bruijn graphs over the alphabet $A$ through right congruences on $A^k$, defined using the natural right action of $A^+$.
Rhodes, John, Schilling, Anne, Silva, Pedro V.   +2 more
core   +2 more sources

Lattice theory of torsion classes [PDF]

, 2018
The aim of this paper is to establish a lattice theoretical framework to study the partially ordered set $\operatorname{\mathsf{tors}} A$ of torsion classes over a finite-dimensional algebra $A$.
Demonet, Laurent, Iyama, Osamu, Reading, Nathan, Reiten, Idun, Thomas, Hugh   +4 more
core   +2 more sources