Results 11 to 20 of about 48,912 (312)
Congruences modulo $4$ for the number of $3$-regular partitions
Comptes Rendus. Mathématique, 2023 The last decade has seen an abundance of congruences for $b_\ell (n)$, the number of $\ell $-regular partitions of $n$. Notably absent are congruences modulo $4$ for $b_3(n)$. In this paper, we introduce Ramanujan type congruences modulo $4$ for $b_3(2n)$
Ballantine, Cristina, Merca, Mircea
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Families of Ramanujan-Type Congruences Modulo 4 for the Number of Divisors
Axioms, 2022 In this paper, we explore Ramanujan-type congruences modulo 4 for the function σ0(n), counting the positive divisors of n. We consider relations of the form σ08(αn+β)+r≡0(mod4), with (α,β)∈N2 and r∈{1,3,5,7}.
Mircea Merca
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Congruence for Structural Congruences [PDF]
, 2005 Structural congruences have been used to define the semantics and to capture inherent properties of language constructs. They have been used as an addendum to transition system specifications in Plotkin’s style of Structural Operational Semantics (SOS).
Mousavi, M.R., Reniers, M.A.
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The lattice of (2, 1)-congruences on a left restriction semigroup
Open Mathematics, 2022 All the (2, 1)-congruences on a left restriction semigroup become a complete sublattice of its lattice of congruences. The aim of this article is to study certain fundamental properties of this complete sublattice.
Liu Haijun, Guo Xiaojiang
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MEASURABLE REALIZATIONS OF ABSTRACT SYSTEMS OF CONGRUENCES
Forum of Mathematics, Sigma, 2020 An abstract system of congruences describes a way of partitioning a space into finitely many pieces satisfying certain congruence relations. Examples of abstract systems of congruences include paradoxical decompositions and $n$-divisibility of actions ...
CLINTON T. CONLEY +2 more
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Congruences on Menger algebras [PDF]
, 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
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Algebraic Method for Solving System of Linear Congruences
Recoletos Multidisciplinary Research Journal, 2015 The paper aimed to devise an alternative algorithm for solving system of linear congruences. This algorithm is an extension of the algebraic algorithm which is an alternative method for finding solutions in linear congruences.
Polemer M. Cuarto
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Ranks For Two Partition Quadruple Functions [PDF]
, 2016 Recently the author introduced two new integer partition quadruple functions, which satisfy Ramanujan-type congruences modulo $3$, $5$, $7$, and $13$. Here we reprove the congruences modulo $3$, $5$, and $7$ by defining a rank-type statistic that gives a
Jennings-Shaffer, Chris
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Discussiones Mathematicae - General Algebra and Applications, 2002 A lattice \(L\) of equivalence relations on a set \(A\neq \emptyset\) is called \(k\)-submodular \((k\geqq 2\) being a positive integer) if for all \(\theta, \phi, \psi \in L\) with \(\theta \subseteq \psi\) the condition \((\theta,\phi,\theta \dots)\cap \psi\subseteq \theta \vee (\phi\vee \psi)\) (where in the brackets on the left side there are \(k\)
Chajda, Ivan, Halaš, Radomír
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PRINCIPAL AND SYNTACTIC CONGRUENCES IN CONGRUENCE-DISTRIBUTIVE AND CONGRUENCE-PERMUTABLE VARIETIES [PDF]
Journal 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
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