On the lattice of semigroup varieties

1987 ◽  
pp. 5-32
Author(s):  
A. Ya. Aĭzenshtat ◽  
B. K. Boguta
Keyword(s):  
Semigroup Varieties

The pn sequences of semigroup varieties generated by combinatorial 0-simple semigroups

2008 ◽  
Vol 59 (3-4) ◽  
pp. 435-446
Author(s):  
Kamilla Kátai-Urbán ◽  
Csaba Szabó
Keyword(s):  
Pn Sequences ◽  
Semigroup Varieties

A sketch of the lattice of commutative nilpotent semigroup varieties

1982 ◽  
Vol 24 (1) ◽  
pp. 285-317 ◽  
Author(s):  
I. O. Korjakov
Keyword(s):  
Nilpotent Semigroup ◽  
Semigroup Varieties

JOINS OF INVERSE SEMIGROUP VARIETIES AND BAND VARIETIES

1991 ◽  
Vol 01 (03) ◽  
pp. 371-385 ◽  
Author(s):  
PETER R. JONES ◽  
PETER G. TROTTER
Keyword(s):  
Inverse Semigroup ◽  
Inverse Semigroups ◽  
Lattice Of Varieties ◽  
Orthodox Semigroups ◽  
Semigroup Varieties

The joins in the title are considered within two contexts: (I) the lattice of varieties of regular unary semigroups, and (II) the lattice of e-varieties (or bivarieties) of orthodox semigroups. It is shown that in each case the set of all such joins forms a proper sublattice of the respective join of the variety I of all inverse semigroups and the variety B of all bands; each member V of this sublattice is determined by V ∩ I and V ∩ B. All subvarieties of the join of I with the variety RB of regular bands are so determined. However, there exist uncountably many subvarieties (or sub-bivarieties) of the join I ∨ B, all of which contain I and all of whose bands are regular.

The subvariety lattice of the join of two semigroup varieties

2009 ◽  
Vol 25 (6) ◽  
pp. 971-982 ◽  
Author(s):  
Wen Ting Zhang ◽  
Yan Feng Luo
Keyword(s):  
Subvariety Lattice ◽  
Semigroup Varieties

scholarly journals Identities and quasiidentities in the lattice of overcommutative semigroup varieties

2012 ◽  
Vol 86 (1) ◽  
pp. 202-211
Author(s):  
V. Y. Shaprynski
Keyword(s):  
Semigroup Varieties
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