INTRODUCTION In some sense this paper could be regarded as a continuation of our
earlier papers [A, 8,-2, 101. All the rings we consider here possess an identity element and …

Based on a lattice theoretical approach, we give a complete characterization of modules
with Fleury's spanning dimension. An example of a non-Artinian, non-hollow module …

LINEAR PROPERTIES OF GOLDIE DIMENSION OF MODULES AND MODULAR LATTICES
Page 1 Glasgow Math. J. 52A (2010) 139–150. C Glasgow Mathematical Journal Trust 2010 …

We analyze how the properties of Goldie dimension continue to hold or not in the infinite
case, with particular interest for the dual Goldie dimension of the lattice of right ideals of a …

In this paper we introduce and investigate a condition (FI) which encompases a large class
of rings including duo rings, FPF rings, and GFC rings. This condition is used in our main …

We introduce 𝑅− modules with finite spanning isodimension. Let 𝑀 be an 𝑅− module 𝑀 is
called module with finite spanning isodimension, if for every strictly decreasing sequence …

20 JZS-Math-25 Revised Version Page 1 Hollow and Semih Payman Mahmood Hama Ali 1 1
University of Sulaimani, College of Science, Departmen 2 University of Baghdad, College of …

Supplements in a Semiring Page 1 ADV MATH SCI JOURNAL Advances in Mathematics:
Scientific Journal 10 (2021), no.4, 2149–2155 ISSN: 1857-8365 (printed); 1857-8438 (electronic) …

In [l], we introduced the concept of spanning dimension and showed that it was dual to the
well known concept of Goldie dimension. Since Goldie dimension is useful in the study of …

Direct Summands of Pseudo Projective Modules Page 1 Advances in Algebra. ISSN 0973-6964
Volume 4, Number 2 (2011), pp. 113-120 © Research India Publications http://www.ripublication.com/aa.htm …