Results 21 to 30 of about 29,367 (278)

PRINCIPAL AND SYNTACTIC CONGRUENCES IN CONGRUENCE-DISTRIBUTIVE AND CONGRUENCE-PERMUTABLE VARIETIES [PDF]

open access: yesJournal of the Australian Mathematical Society, 2008
AbstractWe give a new proof that a finitely generated congruence-distributive variety has finitely determined syntactic congruences (or, equivalently, term finite principal congruences), and show that the same does not hold for finitely generated congruence-permutable varieties, even under the additional assumption that the variety is residually very ...
Davey, Brian A.   +3 more
openaire   +2 more sources

A Note on Congruences of Infinite Bounded Involution Lattices

open access: yesScientific Annals of Computer Science, 2021
We prove that an infinite (bounded) involution lattice and even pseudo-Kleene algebra can have any number of congruences between 2 and its number of elements or equalling its number of subsets, regardless of whether it has as many ideals as elements or ...
Claudia Muresan
doaj   +1 more source

The spt-crank for overpartitions [PDF]

open access: yes, 2014
Bringmann, Lovejoy, and Osburn showed that the generating functions of the spt-overpartition functions spt(n), spt1(n), spt2(n), and M2spt(n) are quasimock theta functions, and satisfy a number of simple Ramanujan-like congruences.
Garvan, Frank, Jennings-Shaffer, Chris
core   +1 more source

Variations of Andrews-Beck type congruences [PDF]

open access: yes, 2020
We prove three variations of recent results due to Andrews on congruences for $NT(m,k,n)$, the total number of parts in the partitions of $n$ with rank congruent to $m$ modulo $k$.
Chan, Song Heng   +2 more
core   +3 more sources

Canonical forms for unitary congruence and *congruence [PDF]

open access: yesLinear and Multilinear Algebra, 2009
We use methods of the general theory of congruence and *congruence for complex matrices--regularization and cosquares-to determine a unitary congruence canonical form (respectively, a unitary *congruence canonical form) for complex matrices A such that \bar{A}A (respectively, A^2) is normal.
Horn, Roger A., Sergeichuk, Vladimir V.
openaire   +2 more sources

Congruences and subdirect representations of graphs

open access: yesElectronic Journal of Graph Theory and Applications, 2020
A basic tool in universal algebra is that of a congruence. It has been shown that congruences can be defined  for graphs with properties similar to their universal algebraic counterparts.
Stefan Veldsman
doaj   +1 more source

Balanced congruences

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2001
If \(\mathfrak{A}\) is an algebra then \(\text{Con}({\mathfrak A})\) is the set of all congruences on \({\mathfrak A}\). If \(\Phi\in \text{Con}({\mathfrak A})\), \(x\in{\mathfrak A}\), then \([x]\Phi=\{t\in{\mathfrak A}\mid (x;t)\in\Phi\}\). If \(M\subseteq{\mathfrak A}\) then \(\Theta(M)\) is the least congruence on \({\mathfrak A}\) containing the ...
Chajda, Ivan, Eigenthaler, Günther
openaire   +2 more sources

S-Acts with Finitely Generated Universal Congruence [PDF]

open access: yesMathematics Interdisciplinary Research, 2022
Universal left congruences on semigroups were studied in “Y. Dandan, V. Gould, T. Quinn-Gregson and R. Zenab, Semigroups with finitely generated universal left congruence, Monat. Math. 190 (2019) 689−724”.
Ali Asghar Gholipour   +3 more
doaj   +1 more source

Congruences on Menger algebras [PDF]

open access: yes, 2013
We discuss some types of congruences on Menger algebras of rank $n$, which are generalizations of the principal left and right congruences on semigroups.
Dudek, Wieslaw A.   +1 more
core   +1 more source

CONGRUENCE SCHEMES [PDF]

open access: yesInternational Journal of Mathematics, 2013
A new category of algebro-geometric objects is defined which contains the category of monoid schemes, or schemes over 𝔽1, and the category of Grothendieck schemes as subcategories.
openaire   +3 more sources

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