Results 1 to 10 of about 104 (40)
Green’s Relations on Submonoids of Generalized Hypersubstitutions of Type (n)
Discussiones Mathematicae - General Algebra and Applications, 2021 A generalized hypersubstitution of type τ = (n) is a function which takes the n-ary operation symbol f to the term of the same type σ(f ) which does not necessarily preserve the arity. Let HypG(n) be the set of all these generalized hypersubstitutions of
Kunama Pornpimol, Leeratanavalee Sorasak
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Chains and anti-chains in the lattice of epigroup varieties [PDF]
, 2009 Let $\mathcal E_n$ be the variety of all epigroups of index $\le n$. We prove that, for an arbitrary natural number $n$, the interval $[\mathcal E_n, \mathcal E_{n+1}]$ of the lattice of epigroup varieties contains a chain isomorphic to the chain of real
Skokov, D. V., Vernikov, B. M.
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Special elements of the lattice of monoid varieties [PDF]
, 2017 We completely classify all neutral or costandard elements in the lattice $\mathbb{MON}$ of all monoid varieties. Further, we prove that an arbitrary upper-modular element of $\mathbb{MON}$ except the variety of all monoids is either a completely regular ...
Gusev, S. V.
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All Linear-Solid Varieties of Semirings
Discussiones Mathematicae - General Algebra and Applications, 2019 A variety of semirings is said to be solid if each of its identities is satisfied as hyperidentity. There are precisely four solid varieties of semirings.
Hounnon Hippolyte, Denecke Klaus
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Cancellable Elements of the Lattice of Monoid Varieties [PDF]
, 2021 The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to be countably infinite. But the description of all cancellable elements of the lattice MON of monoid varieties remains unknown.
Gusev, Sergey V., Lee, Edmond W. H.
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All Regular-Solid Varieties of Idempotent Semirings
Discussiones Mathematicae - General Algebra and Applications, 2017 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.
Hounnon Hippolyte
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All Maximal Completely Regular Submonoids of HypG(2)
Discussiones Mathematicae - General Algebra and Applications, 2017 In this paper we consider mappings σ which map the binary operation symbol f to the term σ (f) which do not necessarily preserve the arity. These mapping are called generalized hypersubstitutions of type τ = (2) and we denote the set of all these ...
Kunama Pornpimol, Leeratanavalee Sorasak
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The lattice of varieties of implication semigroups [PDF]
, 2019 In 2012, the second author introduced and examined a new type of algebras as a generalization of De Morgan algebras. These algebras are of type (2,0) with one binary and one nullary operation satisfying two certain specific identities.
Gusev, S. V. +2 more
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On the ascending and descending chain conditions in the lattice of monoid varieties [PDF]
, 2019 In this work we consider monoids as algebras with an associative binary operation and the nullary operation that fixes the identity element. We found an example of two varieties of monoids with finite subvariety lattices such that their join covers one ...
Gusev, S. V.
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On some varieties of ai-semirings satisfying xp+1 ≈ x
Open Mathematics, 2018 The aim of this paper is to study the lattice of subvarieties of the ai-semiring variety defined by the additional ...
Wang Aifa, Shao Yong
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