Zobrazeno 1 - 10
of 23
pro vyhledávání: '"M. Stronkowski"'
Publikováno v:
Advances in Mathematics, 391:107959. Academic Press Inc.
We prove that there exist profinite Heyting algebras that are not isomorphic to the profinite completion of any Heyting algebra. This resolves an open problem from 2009. More generally, we characterize those varieties of Heyting algebras in which pro
Autor:
Michał M. Stronkowski
Publikováno v:
Archive for Mathematical Logic. 59:149-165
We prove that if an n-element algebra generates the variety $$\mathcal {V}$$ which is actively structurally complete, then the cardinality of the carrier of each subdirectly irreducible algebra in $$\mathcal {V}$$ is at most $$n^{(n+1)\cdot n^{2\cdot
Autor:
Michał M. Stronkowski, A. M. Nurakunov
Publikováno v:
The Journal of Symbolic Logic. 83:1566-1578
Profinite algebras are exactly those that are isomorphic to inverse limits of finite algebras. Such algebras are naturally equipped with Boolean topologies. A variety ${\cal V}$ is standard if every Boolean topological algebra with the algebraic redu
Autor:
Michał M. Stronkowski
Publikováno v:
Bulletin of the Section of Logic. 47
We provide simple algebraic proofs of two important facts, due to Zakharyaschev and Esakia, about Grzegorczyk algebras. The work was supported by the Polish National Science Centre grant no. DEC- 2011/01/D/ST1/06136.
Autor:
Michał M. Stronkowski
Publikováno v:
Algebra universalis. 79
We present a scheme for providing axiomatizations of universal classes. We use infinitary sentences there. New proofs of Birkhoff’s $$\mathsf {HSP}$$ -theorem and Mal’cev’s $$\mathsf {SPP_U}$$ -theorem are derived. In total, we present 75 facts
Autor:
Małgorzata Lichocka, Marta Wnuk, Michał M. Stronkowski, Ewa Swiezewska, Julita Nowakowska, Malgorzata Gutkowska
Publikováno v:
Journal of Experimental Botany
Summary Rab proteins are post-translationally geranylgeranylated by Rab geranylgeranyl transferase (RGT) αβ. Mutations in each of the RGTB genes cause a tip growth defect whereas the double mutant is male sterile.
Rab proteins, key players in
Rab proteins, key players in
Publikováno v:
Studia Logica. 101:827-847
We provide a new proof of the following Palasinska's theorem: Every finitely generated protoalgebraic relation distributive equality free quasivariety is finitely axiomatizable. The main tool we use are $${\mathcal{Q}}$$ Q -relation formulas for a pr
Autor:
Michał M. Stronkowski
Publikováno v:
Algebra universalis. 69:231-235
We note that a class of models is subdirect product closed if and only if it is definable by a class of L∞∞-sentences of a special form.
Autor:
Michał M. Stronkowski
Publikováno v:
Semigroup Forum. 82:296-306
The graph of an algebra A is the relational structure G(A) in which the relations are the graphs of the basic operations of A. Let denote by Open image in new window the class of all graphs of algebras from a class Open image in new window. We prove
Autor:
Michał M. Stronkowski
Publikováno v:
International Journal of Algebra and Computation. 19:1025-1047
An algebra is entropic if its basic operations are homomorphisms. The paper is focused on representations of such algebras. We prove the following theorem: An entropic algebra without constant basic operations which satisfies so called Szendrei ident