Zobrazeno 1 - 10
of 186
pro vyhledávání: '"R. Andruszkiewicz"'
Autor:
R. R. Andruszkiewicz, K. Pryszczepko
Publikováno v:
International Journal of Algebra and Computation. 33:499-508
This paper is devoted to study some relationships of trusses with rings. We characterize abelian groups A such that every truss with retract A has exactly two non-commutative multiplications. We describe commutative rings with nontrivial multiplicati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fa6afa846f48d12246fcd239997fb8df
https://doi.org/10.1142/s0218196723500248
https://doi.org/10.1142/s0218196723500248
Publikováno v:
Algebra Colloquium. 29:595-606
An abelian group [Formula: see text] is called a [Formula: see text]-group if every associative ring with the additive group [Formula: see text] is filial. The filiality of a ring [Formula: see text] means that the ring [Formula: see text] is associa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::026fa8923d7c7446fb46682046842ef2
https://doi.org/10.1142/s1005386722000414
https://doi.org/10.1142/s1005386722000414
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18a3026aec88ed0d321bedfd778909b3
https://doi.org/10.1016/j.jalgebra.2022.01.038
https://doi.org/10.1016/j.jalgebra.2022.01.038
Publikováno v:
Communications in Algebra. 50:3113-3123
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5646bbcf7ebe86bc3fcce281f0954ed6
https://doi.org/10.1080/00927872.2022.2026370
https://doi.org/10.1080/00927872.2022.2026370
Publikováno v:
Journal of Algebra and Its Applications.
The paper deals with new specific constructions of indecomposable torsion-free abelian groups of rank two and nonzero rings on them. They illustrate purely theoretical results and complement quite rare examples obtained during the classical as well a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::721d618e106f8e76d6d9486d99e1371d
https://doi.org/10.1142/s0219498823502158
https://doi.org/10.1142/s0219498823502158
Autor:
R. R. Andruszkiewicz
Publikováno v:
Vietnam Journal of Mathematics. 49:1131-1133
This note contains an example of two non-isomorphic algebras A and B over an arbitrary field K such that the algebras $\widetilde {A}$ A ~ and $\widetilde {B}$ B ~ obtained form A and B, respectively, by the standard process of adjoining an identity,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2cf6254518932f11f656321f388b8de
https://doi.org/10.1007/s10013-020-00437-9
https://doi.org/10.1007/s10013-020-00437-9
Autor:
K. Pryszczepko, R. R. Andruszkiewicz
Publikováno v:
The American Mathematical Monthly. 126:455-458
This note is devoted to the study of some applications of some new characterizations of subrings of the field Q of rational numbers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::90a1f751be53e7154c7618b1f4afaa65
https://doi.org/10.1080/00029890.2019.1577105
https://doi.org/10.1080/00029890.2019.1577105
Publikováno v:
Quaestiones Mathematicae. 43:243-250
The main aim of this note is to give a new and elementary proof of the Beidar theorem, which asserts that for every positive integer n there exists a homomorphically closed class of rings with the ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42bb2883180cb90cb96449a50a9160e6
https://doi.org/10.2989/16073606.2019.1572665
https://doi.org/10.2989/16073606.2019.1572665
Publikováno v:
Miskolc Mathematical Notes. 23:61
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b968b19cbca40e558b94d88b4430b73f
https://doi.org/10.18514/mmn.2022.3761
https://doi.org/10.18514/mmn.2022.3761
Autor:
R. R. Andruszkiewicz, M. Woronowicz
Publikováno v:
Proceedings of the Edinburgh Mathematical Society. 61:295-304
The relation between the structure of a ring and the structure of its additive group is studied in the context of some recent results in additive groups of mixed rings. Namely, the notion of the square subgroup of an abelian group, which is a general
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a270bcb7a8aa0eb890ff6bc9e5c34cb7
https://doi.org/10.1017/s0013091517000165
https://doi.org/10.1017/s0013091517000165