REES SHORT EXACT SEQUENCES OF S-POSETS
نویسنده
چکیده مقاله:
In this paper the notion of Rees short exact sequence for S-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for S-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right S-poset P for the functor Hom(P;-) to be exact.
منابع مشابه
rees short exact sequences of s-posets
in this paper the notion of rees short exact sequence for s-posets is introduced, and we investigate the conditions for which these sequences are left or right split. unlike the case for s-acts, being right split does not imply left split. furthermore, we present equivalent conditions of a right s-poset p for the functor hom(p;-) to be exact.
متن کاملThe Rees product of posets
We study enumerative and homological properties of the Rees product of the cubical lattice with the chain. We give a bijective proof that the Möbius function of this poset can be expressed as n times the permanent of a matrix. This gives a new bijective proof of Jonsson’s result that the Möbius function of the Rees product of the Boolean algebra with the chain is given by a derangement number. ...
متن کاملRees Products of Posets and Inequalities
OF DISSERTATION Tricia Muldoon Brown The Graduate School University of Kentucky 2009 Rees Products of Posets and Inequalities ABSTRACT OF DISSERTATIONOF DISSERTATION A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the College of Arts and Sciences at the University of Kentucky By Tricia Muldoon Brown Lexington, Kentucky Director: Dr. ...
متن کاملTorified simplicial posets from Samuel-Rees degenerations
Abstract We associate a simplicial complex to a sequence of ring elements that generate the ring over R (or nearly so). This is motivated by a formula for the degree of R as the “volume” of the simplicial complex. Then we give a flat degeneration of the ring to one combinatorially defined from the simplicial complex – or almost; the simplicial complex sometimes has to be promoted to a simplicia...
متن کاملExact sequences of extended $d$-homology
In this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. We present sufficient conditions for the existence of long exact extended d- homology sequence. Also we give some illustrative examples.
متن کاملSplitting of Short Exact Sequences for Modules
(1.1) 0 −→ N f −−→M g −−→ P −→ 0 which is exact at N , M , and P . That means f is injective, g is surjective, and im f = ker g. Example 1.1. For an R-module M and submodule N , there is a short exact sequence 0 // N // M // M/N // 0, where the map N →M is the inclusion and the map M →M/N is reduction modulo N . Example 1.2. For R-modules N and P , the direct sum N ⊕ P fits into the short exact...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ذخیره در منابع من قبلا به منابع من ذحیره شده{@ msg_add @}
عنوان ژورنال
دوره 4 شماره 2
صفحات 123- 134
تاریخ انتشار 2017-01-01
با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.
کلمات کلیدی
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023