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Mathematische Zeitschrift, ISSN 0025-5874, 2018, Volume 292, Issue 1-2, p. 151
Building on results of Ando, Hopkins and Rezk, we show the existence of uncountably many E.sub.[infinity] E [infinity] -String... 
Journal Article
Journal of Personality Assessment, ISSN 0022-3891, 01/2018, Volume 100, Issue 1, pp. 116 - 116
Journal Article
International Journal of Mathematics, ISSN 0129-167X, 07/2015, Volume 26, Issue 8, p. 1550055
Let $H_n^{(2)}$ denote the second-order harmonic number $\sum_{0
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 03/2018, Volume 2018, Issue 5, pp. 1532 - 1584
Abstract It is observed that the conjugacy growth series of the infinite finitary symmetric group with respect to the generating set of transpositions is the... 
MATHEMATICS | CONGRUENCES
Journal Article
International Journal of Number Theory, ISSN 1793-0421, 06/2020, Volume 16, Issue 5, pp. 1067 - 1079
Let n = ℚ ( 2 cos ( 2 π / 2 n + 2 ) ) be the n th Viète field for any non-negative integer n . We are interested in the relative unit group of n / n − 1 . In... 
Journal Article
Afrika Matematika, ISSN 1012-9405, 03/2020, Volume 31, Issue 2, pp. 249 - 261
Journal Article
Semigroup Forum, ISSN 0037-1912, 8/2013, Volume 87, Issue 1, pp. 201 - 229
Journal Article
Doklady Mathematics, ISSN 1064-5624, 01/2017, Volume 95, Issue 1, pp. 76 - 78
The Arkhipov-Karatsuba multivariate system of congruences modulo any prime greater than the degrees of forms in this system is solvable for any right-hand... 
MATHEMATICS
Journal Article
Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 05/2014, Volume 2014, Issue 690, pp. 35 - 49
We study vector-valued -adic Siegel modular forms based on the arithmetic theory of vector-valued Siegel modular forms over rings. We construct Fourier... 
MATHEMATICS | CONGRUENCES
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 06/2020, Volume 52, Issue 2, pp. 243 - 252
Journal Article
Semigroup Forum, ISSN 0037-1912, 8/2019, Volume 99, Issue 1, pp. 204 - 204
Article was updated to delete “Petrich” from the following sentence: (11) ⇒ (7). Since αn + 1 ∩ L = ε, by [3, Proposition III.4.2] we have that α n + 1 is... 
Mathematics | Algebra
Journal Article
Order, ISSN 0167-8094, 7/2019, Volume 36, Issue 2, pp. 233 - 247
For an integer n ≥ 2, let NCSL(n) denote the set of sizes of congruence lattices of n-element semilattices. We find the four largest numbers belonging to... 
Algebra | Lattice with many congruences | Mathematics | Order, Lattices, Ordered Algebraic Structures | Number of lattice congruences | Size of the congruence lattice of a finite lattice | Discrete Mathematics | MATHEMATICS | LATTICES
Journal Article
Journal of Number Theory, ISSN 0022-314X, 08/2016, Volume 165, pp. 109 - 130
Many authors have found congruences and infinite families of congruences modulo 2, 3, 4, 18, and 36 for Andrews' defined combinatorial objects, called singular... 
Partitions | Singular overpartitions | Congruences
Journal Article
European Journal of Combinatorics, ISSN 0195-6698, 10/2018, Volume 73, pp. 114 - 137
We show that the generating function ∑n≥0Mnzn for Motzkin numbers Mn, when coefficients are reduced modulo a given power of 2, can be expressed as a polynomial... 
MATHEMATICS | CATALAN | CONGRUENCES
Journal Article
Algebra universalis, ISSN 0002-5240, 6/2018, Volume 79, Issue 2, pp. 1 - 10
In the second edition of the congruence lattice book, Problem 22.1 asks for a characterization of subsets Q of a finite distributive lattice D such that there... 
Algebra | Join-irreducible congruence | Principal congruence | 06B10 | Mathematics | Principal congruence representable set | Congruence lattice | MATHEMATICS | HOMOMORPHISMS | INDEPENDENCE THEOREM | BOUNDED LATTICES
Journal Article
Annals of Combinatorics, ISSN 0218-0006, 11/2019, Volume 23, Issue 3-4, pp. 1123 - 1135
Annals of Combinatorics 23 (2019), no. 3-4, 1123--1135 We discuss $q$-analogues of the classical congruence $\binom{ap}{bp}\equiv\binom{a}{b}\pmod{p^3}$, valid... 
Journal Article
2017, Graduate studies in mathematics, ISBN 0821849476, Volume 179., xii, 700 pages
Book
Journal of Algebra, ISSN 0021-8693, 09/2019, Volume 534, pp. 51 - 64
Graph inverse semigroups were defined by Ash and Hall in 1975. They found necessary and sufficient conditions for the semigroups to be congruence free. In this... 
Hereditary subsets | 0-Restricted congruences | Congruence triples | Cycle functions | Congruence pairs | MATHEMATICS
Journal Article
Semigroup Forum, ISSN 0037-1912, 12/2019, Volume 99, Issue 3, pp. 607 - 631
Congruences on an ample semigroup S are investigated. For any admissible congruence $$ \rho $$ ρ on S, the minimum $$\sigma _{\rho }$$ σ ρ (the maximum $$ \mu... 
Trace | Algebra | Abundant semigroups | Congruence pair | Mathematics | Admissible congruences | Kernel | Ample semigroups | MATHEMATICS | LATTICE
Journal Article
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