Monic monomial representations I Gorenstein-projective modules
XH Luo, P Zhang - arXiv preprint arXiv:1510.05124, 2015 - arxiv.org
For a $ k $-algebra $ A $, a quiver $ Q $, and an ideal $ I $ of $ kQ $ generated by monomial
relations, let $\Lambda:= A\otimes_k kQ/I $. We introduce the monic representations of $(Q …
relations, let $\Lambda:= A\otimes_k kQ/I $. We introduce the monic representations of $(Q …
A description of totally reflexive modules for a class of non-Gorenstein rings
DAR Tracy - arXiv preprint arXiv:1510.04922, 2015 - arxiv.org
We consider local non-Gorenstein rings of the form $(S_i,\mathfrak {n} _i)= k [X, Y_1,\ldots,
Y_i]/\left (X^ 2,(Y_1,\ldots, Y_i)^ 2\right), $ where $ i\geq 2. $ We show that every totally …
Y_i]/\left (X^ 2,(Y_1,\ldots, Y_i)^ 2\right), $ where $ i\geq 2. $ We show that every totally …