Faith – författare

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings, studies an injective module E and chain conditions on the set A^(E,R) of right ideals annihilated by subsets of E. Part II is on the subject of (F)PF, or (finitely) pseudo-Frobenius, rings [i.e., all (finitely generated) faithful modules generate the category mod-R of all R-modules]. (The PF rings had been introduced by Azumaya as a generalization of quasi-Frobenius rings, but FPF includes infinite products of Prufer domains, e.g., Z w .)

HOBOS GOING SOBO IN THEIR OBOZ is the true story of Faith and FROG (HOBOS) as they journey south (SOBO) each wearing a pair of OBOZ (hiking boots) on a long section hike of the Appalachian Trail. On April 7, 2021 they took their first steps in Groseclose, Virginia with plans to finish at Springer Mountain/Amicalola Falls State Park in Georgia. Can they really hike those 545 miles? Can they find enough water sources and where to camp at night? Did they plan out their mail drops of food adequately? How will they be accepted by the younger hikers along the trail? Will there be experiences that were not planned on or accounted for? Is this a realistic goal and adventure for their age? You will hear it all – the good, the bad, and the ugly!This is their story of adventure: the beautiful sunny days and the rain drenched days. The fantastic people that they met along the way, the plans that worked and the plans that needed to be changed. But most importantly, the time spent in GOD’s incredible creation and the many GOD moments along the way. Don’t ever stop dreaming. GOD has an adventure for you too!