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Skocz do pozycji: 1.

Tytuł:: All regular-solid varieties of idempotent semirings
Autorzy:: Hounnon, Hippolyte
Powiązania:: https://bibliotekanauki.pl/articles/38114594.pdf
Data publikacji:: 2017-06-01
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: semiring
hypersubstitution
regular hypersubstitution
regular hyperidentity
solid variety
regular-solid variety
Opis:: The lattice of all regular-solid varieties of semirings splits in two complete sublattices: the sublattice of all idempotent regular-solid varieties of semirings and the sublattice of all normal regular-solid varieties of semirings. In this paper, we discuss the idempotent part.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2017, 37, 1; 5-12
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Complexity of hypersubstitutions and lattices of varieties
Autorzy:: Changphas, Thawhat
Denecke, Klaus
Powiązania:: https://bibliotekanauki.pl/articles/728956.pdf
Data publikacji:: 2003
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: hypersubstitution
left-seminearring
complexity ofa hypersubstitution
M-solid variety
Opis:: Hypersubstitutions are mappings which map operation symbols to terms. The set of all hypersubstitutions of a given type forms a monoid with respect to the composition of operations. Together with a second binary operation, to be written as addition, the set of all hypersubstitutions of a given type forms a left-seminearring. Monoids and left-seminearrings of hypersubstitutions can be used to describe complete sublattices of the lattice of all varieties of algebras of a given type. The complexity of a hypersubstitution can be measured by the complexity of the resulting terms. We prove that the set of all hypersubstitutions with a complexity greater than a given natural number forms a sub-left-seminearring of the left-seminearring of all hypersubstitutions of the considered type. Next we look to a special complexity measure, the operation symbol count op(t) of a term t and determine the greatest M-solid variety of semigroups where $M = H₂^{op}$ is the left-seminearring of all hypersubstitutions for which the number of operation symbols occurring in the resulting term is greater than or equal to 2. For every n ≥ 1 and for $M = Hₙ^{op}$ we determine the complete lattices of all M-solid varieties of semigroups.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2003, 23, 1; 31-43
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

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