Titlebook: Commutative Algebra; Expository Papers De Irena Peeva Book 2013 Springer Science+Business Media New York 2013 Castelnuovo-Mumford regularit

GROVE

小平面

Soviet Social Scientists TalkingWe survey some recent developments in understanding homological properties of finitely generated modules over a complete intersection. These properties mainly concern with vanishing patterns of Ext and Tor functors. We focus on applications to related areas and open questions.

加劇

大溝

https://doi.org/10.1007/978-1-349-02076-8This paper presents a discussion of the algebraic and combinatorial aspects of the theory of pure O-sequences. Various instances where pure O-sequences appear are described. Several open problems that deserve further investigation are also presented.

Celiac-Plexus

善辯

concentrate

Three Flavors of Extremal Betti Tables,We discuss extremal Betti tables of resolutions in three different contexts. We begin over the graded polynomial ring, where extremal Betti tables correspond to pure resolutions. We then contrast this behavior with that of extremal Betti tables over regular local rings and over a bigraded ring.

CODA

CHOIR

Selections from the Letter-Place Panoply,There is a fairly extensive literature on letter-place algebras, but mostly for the edification of those working in algebraic combinatorics. Letter-place algebras have not had much play yet in commutative and homological algebra, so the author thought he would talk about them here and perhaps arouse a bit of interest in that subject.

obtuse