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Congruence join semidistributivity is equivalent to a congruence identity
Algebra Universalis, 2001A lattice is join semidistributive if it satisfies the implication \[ \alpha \vee \beta = \alpha \vee \gamma \Rightarrow \alpha \vee \beta = \alpha \vee (\beta \wedge \gamma ). \] For \(\alpha ,\beta ,\gamma \in \text{Con}{\mathcal A}\) define recursively \(\beta ^0 =\beta , \, \gamma ^0 =\gamma , \,\beta ^{n+1} =\beta \wedge (\alpha \vee \gamma ^n), \,
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NOTES ON GLAISHER'S CONGRUENCES
Chinese Annals of Mathematics, 2000The author proves congruences modulo \(p^2\) and \(p^3\) for the sums \(\sum_{j=1}^{p-1} (np+j)^{-r}\). These generalize results found by \textit{J. W. L. Glaisher} [Q. J. Pure Appl. Math. 31, 321-353 (1900; JFM 31.0185.01)]\ for the case \(n = 0\). The proof uses a \(p\)-adic expansion due to \textit{L. C. Washington} [J. Number Theory 69, 50-61 (1998;
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The value of value congruence.
Journal of Applied Psychology, 2009J. Edwards, D. Cable
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Effects of Internal–External Congruence-Based CSR Positioning: An Attribution Theory Approach
Journal of Business Ethics, 2019Whitney Ginder +2 more
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Self-congruence, functional congruence, and destination choice
Journal of Business Research, 2013Gang Li
exaly
Tucker's Congruence Coefficient as a Meaningful Index of Factor Similarity
Methodology, 2006Urbano Lorenzo-Seva, Jos M F Ten Berge
exaly

