Bijective reflexions and coreflexions of commutative unars

Jaroslav Ježek; Tomáš Kepka

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Laterally commutative heaps and TST-spaces.

Vladimir Volenec (1987)

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A laterally commutative heap can be defined on a given set iff there is the structure of a TST-space on this set.

Szegoö-type properties in a non-commutative case

Wacław Szymański (1977)

Annales Polonici Mathematici

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Existence theorems for commutative diagrams.

Rechnoi, V. (2005)

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On some combinatorial properties of generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions

Dorota Bród, Anetta Szynal-Liana, Iwona Włoch (2022)

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We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.

Commutative directoids with sectional involutions

Ivan Chajda (2007)

Discussiones Mathematicae - General Algebra and Applications

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The concept of a commutative directoid was introduced by J. Ježek and R. Quackenbush in 1990. We complete this algebra with involutions in its sections and show that it can be converted into a certain implication algebra. Asking several additional conditions, we show whether this directoid is sectionally complemented or whether the section is an NMV-algebra.