Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Bernard Rybołowicz"'
Publikováno v:
Journal of Algebra. 600:237-278
It is shown that there is a close relationship between ideal extensions of rings and trusses, that is, sets with a semigroup operation distributing over a ternary abelian heap operation. Specifically, a truss can be associated to every element of an
Autor:
Bernard Rybołowicz, Tomasz Brzeziński
Publikováno v:
Algebras and Representation Theory. 25:1-23
Categorical constructions on heaps and modules over trusses are considered and contrasted with the corresponding constructions on groups and rings. These include explicit description of free heaps and free Abelian heaps, coproducts or direct sums of
Categorical aspects of the theory of modules over trusses are studied. Tensor product of modules over trusses is defined and its existence established. In particular, it is shown that bimodules over trusses form a monoidal category. Truss versions of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::270bf84a9eb23601b1cc6797035ef61d
http://arxiv.org/abs/2006.16624
http://arxiv.org/abs/2006.16624
Autor:
Tomasz Brzeziński, Bernard Rybołowicz
Two observations in support of the thesis that trusses are inherent in ring theory are made. First, it is shown that every equivalence class of a congruence relation on a ring or, equivalently, any element of the quotient of a ring [Formula: see text
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::494f682ee7e7af6ff28e726dc586674a
https://cronfa.swan.ac.uk/Record/cronfa53070/Download/53070__16161__e0a9e8b5773c4276b3248ddab1989986.pdf
https://cronfa.swan.ac.uk/Record/cronfa53070/Download/53070__16161__e0a9e8b5773c4276b3248ddab1989986.pdf
Publikováno v:
Applied Mathematics and Computation. 325:297-308
In this work, we will introduce generalized tribonacci and generalized tricobsthal polynomials. We introduce definitions, formulas for both families of polynomials and the Binet formulas, generating functions. We analyze special points for considered