The duals of the Camillo-Zelmanowitz formulas for Goldie dimension
JK Haack - Canadian Mathematical Bulletin, 1982 - cambridge.org
The duals of the Camillo-Zelmanowitz formulas for Goldie dimension are shown to hold for
Varadarajan's notion of corank, subject to the existence of certain cocomplements. In …
Varadarajan's notion of corank, subject to the existence of certain cocomplements. In …
A linear property of Goldie dimension of modules and modular lattices
ER Puczyłowski - Journal of Pure and Applied Algebra, 2011 - Elsevier
We describe modular lattices with 0 for which a counterpart of the property that minimal
generating subsets of linear spaces are their bases is satisfied and those for which …
generating subsets of linear spaces are their bases is satisfied and those for which …
On dual Goldie dimension
SH Rim, K Takemori - Communications in Algebra, 1993 - Taylor & Francis
Definition. Let M be an Rmodule and let N and N'be submodules of M with N 3 N'. N'is said
to be a co-essential submodule of N in M if the kernel of the canonical map: M/N1-4 M/N is a …
to be a co-essential submodule of N in M if the kernel of the canonical map: M/N1-4 M/N is a …
1–Uniform ideals in N–groups
S Bhavanari, SP Kuncham, VR Paruchuri, M Bhavanari - 2019 - indianjournals.com
In this paper, we consider N–groups and explore the notions H–essential and strictly
essential ideals of an N–group G. We prove the elementary properties of essential ideals …
essential ideals of an N–group G. We prove the elementary properties of essential ideals …
On essential elements in a lattice and Goldie analogue theorem
T Sahoo, BS Kedukodi, KP Shum… - … -European Journal of …, 2022 - World Scientific
We introduce the concept of essentiality in a lattice L with respect to an element δ∈ L. We
define notions such as δ-essential, δ-uniform elements and obtain some of their properties …
define notions such as δ-essential, δ-uniform elements and obtain some of their properties …
On some dimensions of modular lattices and matroids
ER Puczyłowski - International symposium on ring theory, 2001 - Springer
On Some Dimensions of Modular Lattices and Matroids Page 1 On Some Dimensions of
Modular Lattices and Matroids ER Puczylowski Abstract It is shown that methods of matroid …
Modular Lattices and Matroids ER Puczylowski Abstract It is shown that methods of matroid …
[PDF][PDF] Polyserial modules over valuation domains
L Fuchs, L Salce - … del Seminario Matematico della Università di …, 1988 - numdam.org
In what follows, B will denote a valuation domain, ie a com-mutative domain with 1 in which
the ideals form a chain under inclusion. We assume that 1~ is not equal to its field Q of …
the ideals form a chain under inclusion. We assume that 1~ is not equal to its field Q of …
The Noetherian dimension of modules versus their -small shortness
N Shirali - Algebraic Structures and Their Applications, 2023 - as.yazd.ac.ir
In this article, we first consider concept of small Noetherian dimension of a module, which is
dual to the small krull dimension, denoted by $ sn {\rm-dim}\, A $, and defined to be the …
dual to the small krull dimension, denoted by $ sn {\rm-dim}\, A $, and defined to be the …
E-SUPPLEMENT IN A RING.
PK Bhagawati, D Patwari… - South East Asian Journal …, 2023 - search.ebscohost.com
South East Asian J. of Mathematics and Mathematical Sciences Vol. 19, No. 1 (2023), pp.
257-266 DOI: 10.56827/SEAJMMS.2023.1901. Page 1 South East Asian J. of Mathematics …
257-266 DOI: 10.56827/SEAJMMS.2023.1901. Page 1 South East Asian J. of Mathematics …
Relatively semiperfect rings and corank of modules
SS Page - Communications in Algebra, 1993 - Taylor & Francis
Introduction: Let R be a ring with identity. By an R-module we will mean a unitary R-module
which is a left module unless otherwise stated. Let 7 be a hereditary torsion theory. A …
which is a left module unless otherwise stated. Let 7 be a hereditary torsion theory. A …