Zobrazeno 1 - 10
of 20
pro vyhledávání: '"Jaiung Jun"'
Autor:
EPPOLITO, CHRIS1 eppolito@math.binghamton.edu, JAIUNG JUN2 junj@newpaltz.edu
Publikováno v:
Theory & Applications of Categories. 2022, Vol. 38, p319-327. 9p.
Autor:
Alexander Sistko, Jaiung Jun
Publikováno v:
Algebras and Representation Theory. 26:207-240
We study the category $\text {Rep}(Q,\mathbb {F}_{1})$ of representations of a quiver Q over “the field with one element”, denoted by $\mathbb {F}_{1}$ , and the Hall algebra of $\text {Rep}(Q,\mathbb {F}_{1})$ . Representations of Q over $\mathb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae992970d75730938e3ab0b75881a463
https://doi.org/10.1007/s10468-021-10092-4
https://doi.org/10.1007/s10468-021-10092-4
Autor:
Jaiung Jun
Publikováno v:
Journal of Algebra. 569:220-257
Given a scheme $X$ over $\mathbb{Z}$ and a hyperfield $H$ which is equipped with topology, we endow the set $X(H)$ of $H$-rational points with a natural topology. We then prove that; (1) when $H$ is the Krasner hyperfield, $X(H)$ is homeomorphic to t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c45afafb81e46f98dde81d9adf3ffe6f
https://doi.org/10.1016/j.jalgebra.2020.11.005
https://doi.org/10.1016/j.jalgebra.2020.11.005
We develop a general axiomatic theory of algebraic pairs, which simultaneously generalizes several algebraic structures, in order to bypass negation as much as feasible. We investigate several classical theorems and notions in this setting including
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa0ce54b49bafa950f1ad732cce965e0
Publikováno v:
Mathematische Zeitschrift. 296:147-167
This paper examines the category $$\mathbf {Mat}_{\bullet }$$ of pointed matroids and strong maps from the point of view of Hall algebras. We show that $$\mathbf {Mat}_{\bullet }$$ has the structure of a finitary proto-exact category - a non-additive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b82b284b1672e1a183b067da96c12528
https://doi.org/10.1007/s00209-019-02429-z
https://doi.org/10.1007/s00209-019-02429-z
Publikováno v:
Kybernetika; 2022, Vol. 58 Issue 5, p733-759, 27p
Spectral spaces, introduced by Hochster, are topological spaces homeomorphic to the prime spectra of commutative rings. In this paper we study spectral spaces in perspective of idempotent semirings which are algebraic structures receiving a lot of at
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66bc1ecf2aceadabab3bc2cf98b333fb
In this paper, we develop the rudiments of a tropical homology theory. We use the language of “triples” and “systems” to simultaneously treat structures from various approaches to tropical mathematics, including semirings, hyperfields, and su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6e4b6f7a9a047396ae945fc555dccb41
Autor:
Jaiung Jun
Publikováno v:
Journal of Pure and Applied Algebra. 222:2063-2088
We develop notions of valuations on a semiring, with a view toward extending the classical theory of abstract nonsingular curves and discrete valuation rings to this general algebraic setting; the novelty of our approach lies in the implementation of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0a66677b4309df269e82ccf4f082b7c
https://doi.org/10.1016/j.jpaa.2017.08.020
https://doi.org/10.1016/j.jpaa.2017.08.020
Autor:
Miodrag Iovanov, Jaiung Jun
We introduce a general class of combinatorial objects, which we call \emph{multi-complexes}, which simultaneously generalizes graphs, multigraphs, hypergraphs and simplicial and delta complexes. We introduce a natural algebra of multi-complexes which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f79448e3c013fa8a0dc239720b8e0c56