Dual CS-Rickart modules over Dedekind domains
R Tribak - Algebras and Representation Theory, 2020 - Springer
We study d-CS-Rickart modules (ie modules M such that for every endomorphism φ of M, the
image of φ lies above a direct summand of M) over Dedekind domains. The structure of d …
image of φ lies above a direct summand of M) over Dedekind domains. The structure of d …
[HTML][HTML] Weakly based modules over Dedekind domains
We say that a subset X of a left R-module M is weakly independent provided that whenever
a 1 x 1+⋯+ anxn= 0 for pairwise distinct elements x 1,…, xn form X, then none of a 1,…, an is …
a 1 x 1+⋯+ anxn= 0 for pairwise distinct elements x 1,…, xn form X, then none of a 1,…, an is …
Associated and attached primes of local cohomology modules over almost Dedekind domains
In this paper, we prove the Grothendieck's Vanishing Theorem for finitely generated ideals
over almost Dedekind domains and show that there exists a non-finitely generated prime …
over almost Dedekind domains and show that there exists a non-finitely generated prime …
D3-MODULES VERSUS D4-MODULES–APPLICATIONS TO QUIVERS
DK TÜTÜNCÜ, R TRIBAK - Glasgow Mathematical Journal, 2021 - cambridge.org
A module M is called a D4-module if, whenever A and B are submodules of M with M= A⊕ B
and f: A→ B is a homomorphism with Imf a direct summand of B, then Kerf is a direct …
and f: A→ B is a homomorphism with Imf a direct summand of B, then Kerf is a direct …
A CHARACTERIZATION OF ALMOST DEDEKIND DOMAINS IN VIEW OF STRONG REPRESENTABILITY
Throughout this article, all rings are commutative with identity and all modules are unitary.
Recall that an integral domain R is called a Dedekind domain if every proper ideal of R is a …
Recall that an integral domain R is called a Dedekind domain if every proper ideal of R is a …
A characterization of Krull domains in terms of their factor rings
GW Chang, H Kim - Communications in Algebra, 2023 - Taylor & Francis
Let D be an integral domain, w be the so-called w-operation on D, and GV (D) be the set of
nonzero finitely generated ideals J of D with J− 1= D. Let I be aw-ideal of D, D/I be the factor …
nonzero finitely generated ideals J of D with J− 1= D. Let I be aw-ideal of D, D/I be the factor …
Quasi-Baer module hulls and applications
G Lee, JK Park, ST Rizvi, CS Roman - Journal of Pure and Applied Algebra, 2018 - Elsevier
Let V be a module with S= End (V). V is called a quasi-Baer module if for each ideal J of S, r
V (J)= e V for some e 2= e∈ S. On the other hand, V is called a Rickart module if for each …
V (J)= e V for some e 2= e∈ S. On the other hand, V is called a Rickart module if for each …
[HTML][HTML] Serial factorizations of right ideals
A Facchini, Z Nazemian - Journal of Pure and Applied Algebra, 2018 - Elsevier
In a Dedekind domain D, every non-zero proper ideal A factors as a product A= P 1 t 1⋯ P
ktk of powers of distinct prime ideals P i. For a Dedekind domain D, the D-modules D/P iti are …
ktk of powers of distinct prime ideals P i. For a Dedekind domain D, the D-modules D/P iti are …
Neat and coneat subgroups
S Özdemir - 2007 - search.proquest.com
We survey the properties of neat subgroups of abelian groups. Coneat subgroups are
always neat subgroups. Conversely, if a torsion group A with all but finitely many primary …
always neat subgroups. Conversely, if a torsion group A with all but finitely many primary …
Divisible uniserial modules over valuation domains
M Ziegler - Advances in Algebra and Model Theory, 2019 - api.taylorfrancis.com
Advances in Algebra and Model Theory Page 1 Divisible uniserial modules over valuation
domains Martin Ziegler Universitat Freiburg 79104 Freiburg, Germany Abstract We give a …
domains Martin Ziegler Universitat Freiburg 79104 Freiburg, Germany Abstract We give a …