On equivalences of bernstein-gelfand-gelfand, beilinson and happel

P Dowbor, H Meltzer - Communications in Algebra, 1992 - Taylor & Francis
Bernstein-Gelfand-Gelfand showed that the derived category of coherent sheaves on the
projective n-space Db (cohPn) is equivalent to the stable ategory of the category of Z-graded …

A prime essential ring that generates a special atom

S Wahyuni, IE Wijayanti… - Bulletin of the Australian …, 2017 - cambridge.org
A special atom (respectively, supernilpotent atom) is a minimal element of the lattice of all
special radicals (respectively, a minimal element of the lattice of all supernilpotent radicals) …

On the base radical class for associative rings

BJ Gardner, RG McDougall - Acta Mathematica Hungarica, 2003 - Springer
The base radical class L b (X), generated by a class X was introduced in [12]. It consists of
those rings whose nonzero homomorphic images have nonzero accessible subrings in X …

On prime essential rings

H France-Jackson - Bulletin of the Australian Mathematical Society, 1993 - cambridge.org
A ring A is prime essential if A is semiprime and every prime ideal of A has a nonzero
intersection with each nonzero ideal of A. We prove that any radical (other than the Baer's …

Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma

B Gardner - Buletinul Academiei de Ştiinţe a Republicii Moldova …, 2018 - ibn.idsi.md
Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma
Page 1 BULETINUL ACADEMIEI DE STIINTE A REPUBLICII MOLDOVA. MATEMATICA …

Some properties of prime essential rings and their generalization

PW Prasetyo, R Setyaningsih, IE Wijayanti… - AIP Conference …, 2016 - pubs.aip.org
Prime essential ring and generalized prime essential rings can be used to determine
whether a supernilpotent radical is a special radical. Special radical is one of the most …

Graded rings and essential ideals

F Hongjin, P Stewart - Acta Mathematica Sinica, 1993 - Springer
Let G be a group and A a G-graded ring. A (graded) ideal I of A is (graded) essential if I⊃
J≠ 0 whenever J is a nonzero (graded) ideal of A. In this paper we study the relationship …

Kostia's contribution to radical theory and related topics

ER Puczyłowski, R Wiegandt - … Conference of Algebra in Memory of …, 2007 - degruyter.com
One of Kostia Beidar's many research fields was the theory of radicals, concrete and general
ones, and the structure of rings which are radical-free relative to a certain radical or which …

Algebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space

PW Prasetyo, DA Yuwaningsih… - Al-Jabar: Jurnal …, 2020 - ejournal.radenintan.ac.id
A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the
class for some positive integer In this paper, we start by exploring the concept of Tychonoff …

A note on prime essential rings

H Zand - Bulletin of the Australian Mathematical Society, 1994 - cambridge.org
A note on prime essential rings Page 1 BULL. AUSTRAL. MATH. SOC. 16A21, 16A12 VOL. 49
(1994) [55-57] A NOTE ON PRIME ESSENTIAL RINGS HOSSEIN ZAND It is proved that the …