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Commutative post-Lie algebra structures on Kac-Moody algebras
We determine commutative post-Lie algebra structures on some infinite-dimensional Lie algebras. We show that all commutative post-Lie algebra structures on loop algebras are trivial. This extends ...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Hom-Lie structures on Kac-Moody algebras
We describe Horn-Lie structures on affine Kac-Moody and related Lie algebras, and discuss the question when they form a Jordan algebra....
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Effect algebras are conditionally residuated structures
It is shown that effect and pseudo-effect algebras can be viewed as special residuated structures.
BA - Obecná matematika
- 2011 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Algebraic structures derived from BCK-algebras
First, to an arbitrary BCK-algebra a semilattice-like structure every section of which possesses a certain antitone mapping is assigned. The rest is devoted to algebras defined on bounded BCK-algebras in the same w...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the structure of pseudo-BCK algebras
Pseudo-BCK algebras form an important algebraic semantic of the implication reduct of many-valued non-classical logic. The paper contains a description of the structure of these algebras based on lattices with invo...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2017 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Are basic algebras residuated structures?
We have shown that basic algebras can be treated as certain residuated structures.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
How Do l-Groups and Po-Groups Appear in Algebraic and Quantum Structures?
and some important algebraic structures like MV-algebras, BL-algebras, and their non-commutative versions given by pseudo MV-algebras and pseudo BL-algebras. In a similar way we showhow partially...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Structure sense for university algebra
The paper focuses on students´ understanding of algebraic operations and their properties.
AM - Pedagogika a školství
- 2006 •
- D
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D - Stať ve sborníku
Varieties of positive modal algebras and structural completeness
3 non-trivial structurally complete varieties of positive K4-algebrasPositive modal algebras are the〈∧,∨, 3, D, 0, 1〉-subreducts of modal algebras. We show that the variety of positive interior algebras i...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Generalized EMV-Effect Algebras
Recently in Dvureenskij and Zahiri (2017), new algebraic structures, called EMV-algebras which generalize both MV-algebras and generalized Boolean algebras, were introduced. We present equivalent condition...
Applied mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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