Monadic $n\times m$-valued Łukasiewicz-Moisil algebras

A. V. Figallo; Claudia A. Sanza

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Displaying similar documents to “Monadic $n \times m$ -valued Łukasiewicz-Moisil algebras”

Generalized Post algebras and their application to some infinitary many-valued logics

Cat-Ho Nguyen

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CONTENTSIntroduction............................................................................................................................................................................... 5Part I. A generalization of Post algebras............................................................................................................................. 7 1. Definition and characterization of generalized Post algebras............................................. 7 2. Post...

On a Construction of ModularGMS-algebras

Abd El-Mohsen Badawy (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper we investigate the class of all modular GMS-algebras which contains the class of MS-algebras. We construct modular GMS-algebras from the variety ${\underset{̲}{𝐊}}_{2}$ by means of ${\underset{̲}{K}}_{2}$ -quadruples. We also characterize isomorphisms of these algebras by means of ${\underset{̲}{K}}_{2}$ -quadruples.

Schwartz kernel theorem in algebras of generalized functions

Vincent Valmorin (2010)

Banach Center Publications

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A new approach to the generalization of Schwartz’s kernel theorem to Colombeau algebras of generalized functions is given. It is based on linear maps from algebras of classical functions to algebras of generalized ones. In particular, this approach enables one to give a meaning to certain hypotheses in preceding similar work on this theorem. Results based on the properties of $G^{\infty}$ -generalized functions class are given. A straightforward relationship between the classical and the generalized...

Division algebras that generalize Dickson semifields

Daniel Thompson (2020)

Communications in Mathematics

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We generalize Knuth’s construction of Case I semifields quadratic over a weak nucleus, also known as generalized Dickson semifields, by doubling of central simple algebras. We thus obtain division algebras of dimension $2 s^{2}$ by doubling central division algebras of degree $s$ . Results on isomorphisms and automorphisms of these algebras are obtained in certain cases.

Derived equivalences between generalized matrix algebras

QingHua Chen, HongJin Liu (2020)

Czechoslovak Mathematical Journal

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We construct derived equivalences between generalized matrix algebras. We record several corollaries. In particular, we show that the $n$ -replicated algebras of two derived equivalent, finite-dimensional algebras are also derived equivalent.

Metric generalizations of Banach algebras

W. Żelazko

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CONTENTSPRELIMINARIES§ 0. Introduction.......................................................................................................................................................................3§ 1. Definitions and notation.................................................................................................................................................5Chapter ILOCALLY BOUNDED ALGEBRAS§ 2. Basic facts and examples..............................................................................................................................................6§...

A geometric approach to full Colombeau algebras

R. Steinbauer (2010)

Banach Center Publications

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We present a geometric approach to diffeomorphism invariant full Colombeau algebras which allows a particularly clear view of the construction of the intrinsically defined algebra $\hat{} (M)$ on the manifold M given in [gksv].

Operads for $n$ -ary algebras – calculations and conjectures

Martin Markl, Elisabeth Remm (2011)

Archivum Mathematicum

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In [8] we studied Koszulity of a family ${t 𝒜 𝑠𝑠}_{d}^{n}$ of operads depending on a natural number $n \in ℕ$ and on the degree $d \in ℤ$ of the generating operation. While we proved that, for $n \leq 7$ , the operad ${t 𝒜 𝑠𝑠}_{d}^{n}$ is Koszul if and only if $d$ is even, and while it follows from [4] that ${t 𝒜 𝑠𝑠}_{d}^{n}$ is Koszul for $d$ even and arbitrary $n$ , the (non)Koszulity of ${t 𝒜 𝑠𝑠}_{d}^{n}$ for $d$ odd and $n \geq 8$ remains an open problem. In this note we describe some related numerical experiments, and formulate a conjecture suggested by the results of these computations. ...

Displaying similar documents to “Monadic n × m -valued Łukasiewicz-Moisil algebras”

Displaying similar documents to “Monadic $n \times m$ -valued Łukasiewicz-Moisil algebras”