On finitely generated modules over quasi-Euclidean rings
Sign Up to like & getrecommendations! Published in 2017 at "Archiv der Mathematik"
DOI: 10.1007/s00013-016-1009-9
Abstract: Let R be a unital commutative ring, and let M be an R-module that is generated by k elements but not less. Let $$\text {E}_n(R)$$En(R) be the subgroup of $$\text {GL}_n(R)$$GLn(R) generated by the elementary… read more here.
Keywords: generated modules; euclidean rings; finitely generated; text ... See more keywords
Wide subcategories of finitely generated Λ-modules
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498818500822
Abstract: We explore some properties of wide subcategories of the category modu(Λ) of finitely generated left Λ-modules, for some artin algebra Λ. In particular we look at wide finitely generated subcategories and give a connection with… read more here.
Keywords: wide subcategories; generated modules; subcategories finitely; finitely generated ... See more keywords