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Admissible congruences on type B semigroups
Open Mathematics, 2022 The main aim of this article is to study admissible congruences on a type B semigroup. First, we give characterizations of the minimum admissible congruence whose trace is a normal congruence on a type B semigroup.
Li Chunhua +3 more
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Soft Computing, 2016 For an algebra [Formula: see text] belonging to a quasivariety [Formula: see text], the quotient [Formula: see text] need not belong to [Formula: see text] for every [Formula: see text]. The natural question arises for which [Formula: see text]. We consider algebras [Formula: see text] of type (2, 0) where a partial order relation is determined by the ...
Chajda, Ivan, Länger, Helmut
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Nonholomorphic Ramanujan-type congruences for Hurwitz class numbers [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2020 Olivia Beckwith +2 more
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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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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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