The basis problem for CCC posets

Set Theory - DIMACS Series in Discrete Mathematics and Theoretical Computer Science ◽

10.1090/dimacs/058/12 ◽

2002 ◽

pp. 149-160 ◽

Cited By ~ 1

Author(s):

Boban Velickovic

Keyword(s):

Basis Problem

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The bifurcated conception of perceptual knowledge: a new solution to the basis problem for epistemological disjunctivism

Synthese ◽

10.1007/s11229-017-1590-x ◽

2017 ◽

Vol 196 (7) ◽

pp. 2871-2884

Author(s):

Kegan J. Shaw

Keyword(s):

Perceptual Knowledge ◽

Basis Problem ◽

Epistemological Disjunctivism

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On the finite basis problem for certain 2-limited words

Acta Mathematica Sinica English Series ◽

10.1007/s10114-012-0193-1 ◽

2012 ◽

Vol 29 (3) ◽

pp. 571-590 ◽

Cited By ~ 6

Author(s):

Jian Rong Li ◽

Wen Ting Zhang ◽

Yan Feng Luo

Keyword(s):

Finite Basis ◽

Finite Basis Problem ◽

Basis Problem

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Superspecial abelian varieties and the Eichler Basis Problem for Hilbert modular forms

Journal of Number Theory ◽

10.1016/j.jnt.2008.01.006 ◽

2008 ◽

Vol 128 (11) ◽

pp. 2874-2889 ◽

Cited By ~ 1

Author(s):

Marc-Hubert Nicole

Keyword(s):

Modular Forms ◽

Abelian Varieties ◽

Hilbert Modular Forms ◽

Basis Problem ◽

Hilbert Modular

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On a relative normal integral basis problem over abelian number fields

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.69.413 ◽

1993 ◽

Vol 69 (10) ◽

pp. 413-416 ◽

Cited By ~ 3

Author(s):

Humio Ichimura

Keyword(s):

Number Fields ◽

Integral Basis ◽

Basis Problem ◽

Normal Integral Basis

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The Basis Problem in Many-Worlds Theories

The Frontiers Collection - Mindful Universe ◽

10.1007/978-3-642-18076-7_11 ◽

2011 ◽

pp. 65-77

Author(s):

Henry P. Stapp

Keyword(s):

Many Worlds ◽

Basis Problem

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On the finite basis problem for the monoids of partial extensive injective transformations

Semigroup Forum ◽

10.1007/s00233-015-9744-y ◽

2015 ◽

Vol 91 (2) ◽

pp. 524-537

Author(s):

Xun Hu ◽

Yuzhu Chen ◽

Yanfeng Luo

Keyword(s):

Finite Basis ◽

Finite Basis Problem ◽

Basis Problem

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The basis problem for modular forms on $\Gamma _0 \left( N \right)$

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.56.280 ◽

1980 ◽

Vol 56 (6) ◽

pp. 280-284 ◽

Cited By ~ 6

Author(s):

Hiroaki Hijikata ◽

Arnold Pizer ◽

Tom Shemanske

Keyword(s):

Modular Forms ◽

Basis Problem

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Varieties generated by 2-testable monoids

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/sscmath.49.2012.3.1211 ◽

2012 ◽

Vol 49 (3) ◽

pp. 366-389 ◽

Cited By ~ 2

Author(s):

Edmond Lee

Keyword(s):

Present Article ◽

Chain Condition ◽

Finite Basis ◽

Finitely Based ◽

Finitely Generated ◽

Finite Basis Problem ◽

Basis Problem ◽

Descending Chain Condition ◽

Ascending Chain Condition

The smallest monoid containing a 2-testable semigroup is defined to be a 2-testable monoid. The well-known Brandt monoid B21 of order six is an example of a 2-testable monoid. The finite basis problem for 2-testable monoids was recently addressed and solved. The present article continues with the investigation by describing all monoid varieties generated by 2-testable monoids. It is shown that there are 28 such varieties, all of which are finitely generated and precisely 19 of which are finitely based. As a comparison, the sub-variety lattice of the monoid variety generated by the monoid B21 is examined. This lattice has infinite width, satisfies neither the ascending chain condition nor the descending chain condition, and contains non-finitely generated varieties.

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