Problems and results in tame congruence theory. A survey of the '88 Budapest workshop

A finite algebra C is called minimal with respect to a pair δ<θ of its congruences if every unary polynomial f of C is either a permutation, or f(θ)⊆δ. It is the basic idea of tame congruence theory developed by Ralph McKenzie and David Hobby [7] to describe finite algebras via minimal algebras that sit inside them. As shown in [7] minimal algebras have a very restricted structure. This paper presents a new tool, the Twin Lemma, which makes it possible to give short proofs of some of these structure theorems. This part can be read as an alternative introduction to the theory. Our method yields new information in the type 1 case, and is especially useful in describing E-minimal algebras (that is, algebras that are minimal with respect to every prime congruence quotient). We complete their theory given in [7] by proving a structure theorem for the type 1 case. Finally we show that if an algebra is minimal with respect to two quotients, then the two types are the same, and if this type is 2, 3, or 4, then the bodies are also equal.

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Adaptation of turnip mosaic potyvirus to a specific niche reduces its genetic and environmental robustness

Virus Evolution ◽

10.1093/ve/veaa041 ◽

2020 ◽

Vol 6 (2) ◽

Author(s):

Anamarija Butković ◽

Rubén González ◽

Inés Cobo ◽

Santiago F Elena

Keyword(s):

Mutation Rates ◽

Permissive Temperature ◽

Fitness Component ◽

Temperature Conditions ◽

Environmental Perturbations ◽

Genetic Robustness ◽

Congruence Theory ◽

The Face ◽

Environmental Robustness ◽

Two Sides

Abstract Robustness is the preservation of the phenotype in the face of genetic and environmental perturbations. It has been argued that robustness must be an essential fitness component of RNA viruses owed to their small and compacted genomes, high mutation rates and living in ever-changing environmental conditions. Given that genetic robustness might hamper possible beneficial mutations, it has been suggested that genetic robustness can only evolve as a side-effect of the evolution of robustness mechanisms specific to cope with environmental perturbations, a theory known as plastogenetic congruence. However, empirical evidences from different viral systems are contradictory. To test how adaptation to a particular environment affects both environmental and genetic robustness, we have used two strains of turnip mosaic potyvirus (TuMV) that differ in their degree of adaptation to Arabidopsis thaliana at a permissive temperature. We show that the highly adapted strain is strongly sensitive to the effect of random mutations and to changes in temperature conditions. In contrast, the non-adapted strain shows more robustness against both the accumulation of random mutations and drastic changes in temperature conditions. Together, these results are consistent with the predictions of the plastogenetic congruence theory, suggesting that genetic and environmental robustnesses may be two sides of the same coin for TuMV.

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Toward a Multilevel Congruence Theory of Organization

Administrative Science Quarterly ◽

10.2307/2391960 ◽

1977 ◽

Vol 22 (2) ◽

pp. 264 ◽

Cited By ~ 30

Author(s):

Donald V. Nightingale ◽

Jean-Marie Toulouse

Keyword(s):

Congruence Theory ◽

Theory Of Organization

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Goal Congruence Theory and Organization Development

Organizational Behavior 6 ◽

10.4324/9781315701967-48 ◽

2011 ◽

pp. 232-238

Keyword(s):

Organization Development ◽

Goal Congruence ◽

Congruence Theory

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Conclusion

Liberal States, Authoritarian Families ◽

10.1093/oso/9780197568804.003.0008 ◽

2021 ◽

pp. 191-202

Author(s):

Rita Koganzon

Keyword(s):

Public Opinion ◽

Public Life ◽

Intellectual Freedom ◽

The Family ◽

Congruence Theory ◽

Personal Authority ◽

Sovereign Authority

The conclusion summarizes the reasons for Locke’s and Rousseau’s turn against absolutist congruence theory and toward a defense of authoritarian families in liberal states. They saw that the absolutists had failed to adequately grapple with the power of public opinion to undermine the sovereign authority that was supposed to control it, and they understood the enormous influence of opinion over our ideas and its potential to foreclose intellectual freedom. To defend that freedom for adults, they leaned on the family and its domestic education of children as a buttress and counterinfluence against the power of fashion and opinion. Recognizing this pedagogical role of personal authority in the foundations of liberalism may help us to resolve our own inability to find a place for the basic but private experience of personal authority, which, however much we wish it away, remains central to forming liberal public life

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Condoms and bananas: Shock advertising explained through congruence theory

Journal of Retailing and Consumer Services ◽

10.1016/j.jretconser.2020.102228 ◽

2020 ◽

Vol 57 ◽

pp. 102228

Author(s):

Michael S.W. Lee ◽

Felix Septianto ◽

Catherine Frethey-Bentham ◽

Esther Gao

Keyword(s):

Congruence Theory

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Poly-Victimization Among Female College Students: Are the Risk Factors the Same as Those Who Experience One Type of Victimization?

Violence Against Women ◽

10.1177/1077801220952176 ◽

2020 ◽

pp. 107780122095217

Author(s):

Jamie A. Snyder ◽

Heidi L. Scherer ◽

Bonnie S. Fisher

Keyword(s):

Risk Factors ◽

College Students ◽

Multivariate Analyses ◽

Significant Proportion ◽

Past Research ◽

The United States ◽

Routine Activities ◽

Female College Students ◽

Single Type ◽

Congruence Theory

Past research has shown that a significant proportion of college students will experience a victimization during their college tenure. This body of research provides evidence that college students’ lifestyle characteristics and routine activities play a role in influencing their risk of victimization; yet, little is known about whether these same risk factors predict both single-type victimization and poly-victimization. Using a sample of more than 4,000 college women from across the United States, multivariate analyses were used to examine the risk factors for poly-victimization. Measures from both target congruence theory and lifestyles-routine activities theory were found to significantly differentiate single-type victims from poly-victims.

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