Zobrazeno 1 - 10
of 142
pro vyhledávání: '"06f35"'
Autor:
Kowalski, Tomasz
Publikováno v:
Reports on Mathematical Logic, no. 29, 1995, 87-93, ISSN:0137-2904,2084-2589
Confirming a conjecture of Pa{\l}asi\'nski and Wro\'nski, we show that the bottom of the lattice of subvarieties of BCK is Y-shaped.
Comment: This is an inessentially altered version of the original article. English and TeX slightly improved
Comment: This is an inessentially altered version of the original article. English and TeX slightly improved
Externí odkaz:
http://arxiv.org/abs/2409.09854
Recently Yang-Roh-Jun introduced the notion of ordered BCI-algebras as a generalization of BCI-algebras. They also introduced the notions of homomorphisms and kernels of ordered BCI-algebras and investigated related properties. Here we extend their i
Externí odkaz:
http://arxiv.org/abs/2307.11362
Autor:
Evans, C. Matthew
Given a complete atomic Boolean algebra, we show there is a commutative BCK-algebra whose ideal lattice is that Boolean algebra. This result is shown to exist within a larger framework involving BCK-algebras of functions, whose ideals and prime ideal
Externí odkaz:
http://arxiv.org/abs/2109.09291
Publikováno v:
Topological Algebra and its Applications, Vol 11, Iss 1, Pp 31-39 (2023)
The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated. We proved that the intersection of strong fuzzy GE-filters (fuzzy GE-ideals) is a stro
Externí odkaz:
https://doaj.org/article/e65709e34e1f4d9baf00d684d2ee4711
Publikováno v:
Annales Mathematicae Silesianae, Vol 37, Iss 2, Pp 185-203 (2023)
The (fuzzy) filter of the Sheffer stroke Hilbert algebra was addressed by Oner, Katican and Borumand Saeid. The weak version of the filter was discussed by Jun and Oner. In this manuscipt, with the fuzzy version of the weak filter in mind, the notion
Externí odkaz:
https://doaj.org/article/b06259afc68444dc80c830f6b7b08bfd
We investigate from an algebraic and topological point of view the minimal prime spectrum of a universal algebra, considering the prime congruences w.r.t. the term condition commutator. Then we use the topological structure of the minimal prime spect
Externí odkaz:
http://arxiv.org/abs/2012.04916
Autor:
Evans, C. Matthew
In this paper we study prime spectra of commutative BCK-algebras. We give a new construction for commutative BCK-algebras using rooted trees, and determine both the ideal lattice and prime ideal lattice of such algebras. We prove that the spectrum of
Externí odkaz:
http://arxiv.org/abs/2010.08913
The {\em reticulation} of an algebra $A$ is a bounded distributive lattice whose prime spectrum of ideals (or filters), endowed with the Stone topology, is homeomorphic to the prime spectrum of congruences of $A$, with its own Stone topology. The ret
Externí odkaz:
http://arxiv.org/abs/1908.11688
Autor:
Chajda, Ivan, Länger, Helmut
Effect algebras and pseudoeffect algebras were introduced by Foulis, Bennett, Dvurecenskij and Vetterlein as so-called quantum structures which serve as an algebraic axiomatization of the logic of quantum mechanics. A natural question concerns their
Externí odkaz:
http://arxiv.org/abs/1907.02738
Autor:
Gaba, Yaé Ulrich
In this article, we introduce and investigate the concept of partial quasi-metric type space as a generalization of both partial quasi-metric and quasi-metric type spaces. We show that many important constructions studied in K\"unzi's theory of parti
Externí odkaz:
http://arxiv.org/abs/1903.06582