Algebraic families of subfields in division rings

We describe relations between maximal subfields in a division ring and in its rational extensions. More precisely, we prove that properties such as being Galois or purely inseparable over the centre generically carry over from one to another. We provide an application to enveloping skewfields in positive characteristics. Namely, there always exist two maximal subfields of the enveloping skewfield of a solvable Lie algebra, such that one is Galois and the second purely inseparable of exponent 1 over the centre. This extends results of Schue in the restricted case. Along the way we provide a description of the enveloping algebra of the p-envelope of a Lie algebra as a polynomial extension of the smaller enveloping algebra.Comment: 9 pages, revised according to referee comments, new titl

36-39: Malos Tiempos ou comment la bande dessinée rend hommage aux vaincus de la Guerre civile

The Spanish comic book author Carlos Giménez signs between 2007 and 2009 a series of four albums on the Spanish Civil War titled 36-39: Malos tiempos. In this tetralogy, the denunciatory dimension is very strong and leads us to ask ourselves a certain number of questions: first, why now address the theme of the Civil War? What relationship to the memory of the author here, born in 1941 and did not live the conflict? What are the methods of writing these albums? Finally, what representation of war offer us? 36-39 turns out to be a special "narrative of memory", drawn by an author who wants to convey his vision of the Spanish war to the younger generations. So these four albums are endowed with a pedagogical and explanatory value, and almost educational: it is not so much for Carlos Giménez to tell History, than to draw lessons, via an original medium like the comic, a form of expression intended for the greater number, more likely than others to reach a young and wide audience

Preacher\u27s Magazine Volume 33 Number 03

Cover — Charles B. Jernigan The Preacher in Study and Pulpit, J. B. Chapman Editorial, IV. Problems Our Pastors Face Born for the Skies, Genevieve Thompson The Extreme of God’s Grace, L. B. Hicks I Prefer an Evangelist, Richard S. Taylor II. The Prophet or a Preacher, J. Melton Thomas The Preparation and Delivery of Sermons, C. E. Shumake Gleanings from the Greek New Testament, Ralph Earle Evangelism, V. H. Lewis Preachers and Promises, E. E. Shelhamer The Pastor and His People, Merilyn G. Feller The Midweek Prayer Meeting, Lowell W. Coey Advertising Through Journalism, Robert D. Rogers The Shadow of the Cross, A. F. Cone Sermon Workshop Book Briefshttps://digitalcommons.olivet.edu/cotn_pm/1366/thumbnail.jp

Preacher\u27s Magazine Volume 34 Number 12

What Darkness Cannot Dim, Joseph R. Sizzo Editorial, Just How Much Do We Give? The Preaching of Frederick W. Robertson, James McGraw The Bible – the Word of God, D. Shelby Corlett Freedom in Arminian-Wesleyan Theology, J. Kenneth Grider As Others See Us, W. S. Muir Gleanings from the Greek New Testament, Ralph Earle Queen of the Parsonage, Ruth Vaughn I Saw a Man Come to Jesus, V. H. Lewis The Church Captures the Mobile Homes, Eugene A. Conklin Sermon Workshop, Nelson G. Mink Sermon Starters Book Briefs Indexhttps://digitalcommons.olivet.edu/cotn_pm/1387/thumbnail.jp