Zobrazeno 1 - 10
of 16
pro vyhledávání: '"J. R. Juett"'
Autor:
Alejandra M. Medina, J. R. Juett
Publikováno v:
Communications in Algebra. 50:392-422
Several different generalizations of finite factorization domains (i.e., integral domains where every nonzero nonunit has only finitely many divisors up to associates) have been defined for commuta...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43a262ebac5c44da48fb8c0b78243101
https://doi.org/10.1080/00927872.2021.1958829
https://doi.org/10.1080/00927872.2021.1958829
Publikováno v:
Semigroup Forum. 102:674-696
Several different versions of “factoriality” have been defined for commutative rings with zero divisors. We apply semigroup theory to study these notions in the context of a commutative monoid ring R[S], determining necessary and sufficient condi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58a8337aa822f2efe10e47269227fcbc
https://doi.org/10.1007/s00233-020-10154-x
https://doi.org/10.1007/s00233-020-10154-x
Publikováno v:
Communications in Algebra. 49:2101-2125
“Unique factorization” was central to the initial development of ideal theory. We update this topic with several new results concerning notions of “unique ideal factorization rings” with zero divis...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40198ecee5dfdb6aa1e070dbb8355f2f
https://doi.org/10.1080/00927872.2020.1864390
https://doi.org/10.1080/00927872.2020.1864390
Autor:
J. R. Juett, Ranthony A. C. Edmonds
Publikováno v:
Communications in Algebra. 49:1836-1860
In the context of factorization in monoid rings with zero divisors, we study associate relations and the resulting notions of irreducibility and factorization length. Building upon these facts, we ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c78b6693305e5c6fa05ea61b77d9b518
https://doi.org/10.1080/00927872.2020.1857391
https://doi.org/10.1080/00927872.2020.1857391
Publikováno v:
Communications in Algebra. 47:4713-4728
Jayaram and Tekir defined an R-module M, R is a commutative ring, to be “von Neumann regular” if for each m∈M, there exists an a∈R such that Rm=aM=a2M. Previously, Fieldhouse called M “regular” if ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::116260553ef2551aa018eee8a5caf25b
https://doi.org/10.1080/00927872.2019.1593427
https://doi.org/10.1080/00927872.2019.1593427
Publikováno v:
Communications in Algebra. 47:1742-1772
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36c1eb540afe1ce5fcfe7162815ce947
https://doi.org/10.1080/00927872.2018.1517359
https://doi.org/10.1080/00927872.2018.1517359
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9789811684210
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bbc82c81c13f27b0c214695e8c80c92b
https://doi.org/10.1007/978-981-16-8422-7_3
https://doi.org/10.1007/978-981-16-8422-7_3
Publikováno v:
Communications in Algebra. 47:878-895
We study the factorization of ideals of a commutative ring, in the context of the U-factorization framework introduced by Fletcher. This leads to several “U-factorability” properties weaker...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f8b47d0920f9d84a47a9126e323758a
https://doi.org/10.1080/00927872.2018.1498867
https://doi.org/10.1080/00927872.2018.1498867
Autor:
J. R. Juett, Jessica Lynn Williams
Publikováno v:
Communications in Algebra. 45:3967-3985
We perform an in-depth study of strongly stable ranks of modules over a commutative ring. Here we define the strongly stable rank of a module to be the supremum of the stable ranks of its finitely ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b36eda6677ea00aac0e5330ddb8061f0
https://doi.org/10.1080/00927872.2016.1251939
https://doi.org/10.1080/00927872.2016.1251939
Autor:
D. D. Anderson, J. R. Juett
Publikováno v:
Communications in Algebra. 45:1584-1600
Let R be a commutative ring. We investigate several functions which measure the length of factorizations of an element of R. Some of these functions are l,lU:R→ℕ0 (for R atomic) and L,LU:R→ℕ0∪{∞} where l(x)=lU(x)=L(x)=LU(x)=0 for x a unit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c6624787fce6527e2c2ba8868c33f0b
https://doi.org/10.1080/00927872.2016.1222400
https://doi.org/10.1080/00927872.2016.1222400