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pro vyhledávání: '"Jenei, Sándor"'
Autor:
Jenei, Sándor
The representation theorem for odd or even involutive FLe-chains by bunches of layer groups, as discussed in [10], is redefined to demonstrate a more straightforward constructional relationship between odd or even involutive FLe-chains and bunches of
Externí odkaz:
http://arxiv.org/abs/2312.05845
Autor:
Jenei, Sándor
We exhibit a categorical equivalence between the class of odd or even involutive FL$_e$-chains and a class of direct systems of abelian $o$-groups. Restricting this equivalence only to odd or only to even involutive FL$_e$-chains or to further subcla
Externí odkaz:
http://arxiv.org/abs/2304.03008
Autor:
Jenei, Sándor
Amalgamation is investigated in classes of non-divisible, non-in\-teg\-ral, and non-idempotent involutive commutative residuated lattices. We demonstrate that several subclasses of totally-ordered, involutive, commutative residuated lattices fail the
Externí odkaz:
http://arxiv.org/abs/2012.14181
Autor:
Jenei, Sándor
An algebraic proof is presented for the finite strong standard completeness of involutive uninorm logic with fixed point. The result may provide a first step towards settling the open standard completeness problem for involutive uninorm logic posed i
Externí odkaz:
http://arxiv.org/abs/1910.01393
Autor:
Jenei, Sándor
Uninorms play a prominent role both in the theory and the applications of Aggregations and Fuzzy Logic. In this paper the class of group-like uninorms is introduced and characterized. First, two variants of a general construction -- called partial-le
Externí odkaz:
http://arxiv.org/abs/1910.01397
Autor:
Jenei, Sándor
Hahn's embedding theorem asserts that linearly ordered abelian groups embed in some lexicographic product of real groups. Hahn's theorem is generalized to a class of residuated semigroups in this paper, namely, to odd involutive commutative residuate
Externí odkaz:
http://arxiv.org/abs/1910.01387
Autor:
Jenei, Sándor
For odd and for even involutive, commutative residuated chains a representation theorem is presented in this paper by means of direct systems of abelian o-groups equipped with further structure. This generalizes the corresponding result of J. M. Dunn
Externí odkaz:
http://arxiv.org/abs/1910.01404
Autor:
Jenei, Sándor
Publikováno v:
Studia Logica: An International Journal for Symbolic Logic, 2020 Dec 01. 108(6), 1161-1206.
Externí odkaz:
https://www.jstor.org/stable/45379264
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