Erratum to “Structure of Johns rings”

Iterated Rings of Bounded Elements: Erratum

We close a gap in the author’s thesis [S1, S2]. The author’s proof of [S1, S2, Lemma 4.10] is not correct. In this note, we show that this does not affect the validity of any other statement in [S1, S2]. We will observe that the lemma in question holds in any of the following important special cases: (a) T = ∑ A (b) A contains a f.g. subalgebra C such that T is as a preordering generated by T ∩...

ساختار کلاسهایی از حلقه های z- موضعی و c- موضعی the structure of some classes of z-local and c-local rings

فرض کنیمr یک حلقه تعویض پذیر ویکدار موضعی باشدو(j(r رایکال جیکوبسن r و(z(r مجموعه مقسوم علیه های صفر حلقه r باشد.گوییم r یک حلقه z- موضعی است هرگاه j(r)^2=. .همچنین برای یک حلقه تعویض پذیر r فرض کنیم c یک عنصر ناصفر از (z( r باشد با این خاصیت که cz( r)=0 گوییم حلقه موضعی r یک حلقه c - موضعی است هرگاه و{0 و z(r)^2={cو z(r)^3=0, نیز xz( r)=0 نتیجه دهد که x عضو {c,0 } است. در این پایان نامه ساخ...

The Structure of Serial Rings

A serial ring (generalized uniserial in the terminology of Nakayama) is one whose left and right free modules are direct sums of modules with unique finite composition series (uniserial modules.) This paper presents a module-theoretic discussion of the structure of serial rings, and some onesided characterizations of certain kinds of serial rings. As an application of the structure theory, an e...

Erratum to: Armentum: a hybrid direct search optimization methodology

In the original publication of this article unfortunately the co-authors were omitted. The two co-authors are displayed now.

Erratum