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pro vyhledávání: '"06E05"'
Although algebraic structures are frequently analyzed using unary and binary operations, they can also be effectively defined and unified through ternary operations. In this context, we introduce structures that contain two constants and a ternary op
Externí odkaz:
http://arxiv.org/abs/2410.22345
Autor:
Kurilić, Miloš S.
$\mathop{\rm rp}\nolimits ({\mathbb B})$ denotes the reduced power ${\mathbb B}^\omega /\Phi$ of a Boolean algebra ${\mathbb B}$, where $\Phi$ is the Fr\'{e}chet filter $\Phi$ on $\omega$. We investigate iterated reduced powers ($\mathop{\rm rp}\noli
Externí odkaz:
http://arxiv.org/abs/2403.17930
Autor:
Hart, Klaas Pieter
In answer to a question on Mathoverflow we show that the Boolean algebra $\mathcal{P}(\omega)/\mathit{fin}$ contains a family $\{\mathcal{B}_X:X\subseteq\mathfrak{c}\}$ of subalgebras with the property that $X\subseteq Y$ implies $\mathcal{B}_Y$ is a
Externí odkaz:
http://arxiv.org/abs/2303.08491
Autor:
Spendlove, Kelly, Vandervorst, Robert
To capture the global structure of a dynamical system we reformulate dynamics in terms of appropriately constructed topologies, which we call flow topologies; we call this process topologization. This yields a description of a semi-flow in terms of a
Externí odkaz:
http://arxiv.org/abs/2207.06971
Autor:
Hart, Klaas Pieter, van Mill, Jan
Publikováno v:
Topology and its Applications 2024
This is an update on, and expansion of, our paper Open problems on $\beta\omega$ in the book Open Problems in Topology.
Comment: New version, much reworked. 2024-02-01: version after comments from the referee. 2024-08-24: added classification, k
Comment: New version, much reworked. 2024-02-01: version after comments from the referee. 2024-08-24: added classification, k
Externí odkaz:
http://arxiv.org/abs/2205.11204
Autor:
Khandekar, Nilesh, Joshi, Vinayak
In this paper, we characterize chordal and perfect zero-divisor graphs of finite posets. Also, it is proved that the zero-divisor graphs of finite posets and the complement of zero-divisor graphs of finite $0$-distributive posets satisfy the Total Co
Externí odkaz:
http://arxiv.org/abs/2205.04916
Autor:
Fatelo, J. P., Martins-Ferreira, N.
An algebraic structure with two constants and one ternary operation, which is not completely commutative, is put forward to accommodate ternary Boolean algebras. When the ternary operation is interpreted as Church's conditioned disjunction, Boolean a
Externí odkaz:
http://arxiv.org/abs/2203.08012
We give a unified overview of the study of the effects of additional set theoretic axioms on quotient structures. Our focus is on rigidity, measured in terms of existence (or rather non-existence) of suitably \emph{non-trivial} automorphisms of the q
Externí odkaz:
http://arxiv.org/abs/2201.11618
Autor:
Fatelo, J. P., Martins-Ferreira, N.
We present a new approach to ternary Boolean algebras in which negation is derived from the ternary operation. The key aspect is the replacement of complete commutativity by other axioms that do not require the ternary operation to be symmetric.
Externí odkaz:
http://arxiv.org/abs/2109.06259
Publikováno v:
Topology and its Applications 285 (2020) 107391
This article is a reflection on the mathematical legacy of Professor Petr Simon.
Externí odkaz:
http://arxiv.org/abs/2009.08316