The basis problem for CCC posets

2002 ◽  
pp. 149-160 ◽  
Author(s):  
Boban Velickovic
Keyword(s):  
Basis Problem

On the finite basis problem for certain 2-limited words

2012 ◽  
Vol 29 (3) ◽  
pp. 571-590 ◽  
Author(s):  
Jian Rong Li ◽  
Wen Ting Zhang ◽  
Yan Feng Luo
Keyword(s):  
Finite Basis ◽  
Finite Basis Problem ◽  
Basis Problem

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

2015 ◽  
Vol 91 (2) ◽  
pp. 524-537
Author(s):  
Xun Hu ◽  
Yuzhu Chen ◽  
Yanfeng Luo
Keyword(s):  
Finite Basis ◽  
Finite Basis Problem ◽  
Basis Problem

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

1980 ◽  
Vol 56 (6) ◽  
pp. 280-284 ◽  
Author(s):  
Hiroaki Hijikata ◽  
Arnold Pizer ◽  
Tom Shemanske
Keyword(s):  
Modular Forms ◽  
Basis Problem

Varieties generated by 2-testable monoids

2012 ◽  
Vol 49 (3) ◽  
pp. 366-389 ◽  
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.

A positive answer to the basis problem

1998 ◽  
Vol 104 (1) ◽  
pp. 51-124 ◽  
Author(s):  
Paolo Terenzi
Keyword(s):  
Positive Answer ◽  
Basis Problem
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