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In this paper we study $J$ -EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and $J$ -EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by relaxing some...

Noncommutative extensions of the Fourier transform and its logarithm

Romuald Lenczewski (2002)

Studia Mathematica

We introduce noncommutative extensions of the Fourier transform of probability measures and its logarithm to the algebra (S) of complex-valued functions on the free semigroup S = FS(z,w) on two generators. First, to given probability measures μ, ν with all moments finite, we associate states μ̂, ν̂ on the unital free *-bialgebra (ℬ,ε,Δ) on two self-adjoint generators X,X’ and a projection P. Then we introduce and study cumulants which are additive under the convolution μ̂* ν̂ = μ̂ ⊗ ν̂ ∘ Δ when...

Nonexistence of nonmolecular generic sets.

Steiner, Donald D., Abian, Alexander (1984)

Publications de l'Institut Mathématique. Nouvelle Série

Non-modular and non-distributive primitive ordered subsets of lattices

Jiří Rachůnek (1993)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Nonstandard implication algebras

R. A. Herrmann (1979)

Matematički Vesnik

Normal Fitting Classes and the Lockett Ordering.

Amirali R. Makan (1975)

Mathematische Zeitschrift

Note on canonizing ordering theorems for Hales Jewett structures

Nešetřil, J., Prömel, H. J., Rödl, V., Voigt, B. (1984)

Proceedings of the 11th Winter School on Abstract Analysis

Note on compatible well orders on a free monoid.

Y. Kobayashi (1992)

Semigroup forum

Note on Demi-Topological Functors.

Rudolf-E. Hoffmann (1978)

Mathematische Zeitschrift

Note on orthocomplemented posets II.

Flachsmeyer, Jürgen (1982)

Proceedings of the 10th Winter School on Abstract Analysis

Note on quasi-orders, partial orders and orders

Morgado, José (1973)

Portugaliae mathematica

Note on transformations of posets with the same upper bound graph and minimal elements.

Ogawa, Kenjiro, Tsuchiya, Morimasa (2006)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Note on $α$ -filters in distributive nearlattices

Ismael Calomino (2019)

Mathematica Bohemica

In this short paper we introduce the notion of $α$ -filter in the class of distributive nearlattices and we prove that the $α$ -filters of a normal distributive nearlattice are strongly connected with the filters of the distributive nearlattice of the annihilators.

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