s-Sequences and Monomial Modules
Keyword(s):
In this paper we study a monomial module M generated by an s-sequence and the main algebraic and homological invariants of the symmetric algebra of M. We show that the first syzygy module of a finitely generated module M, over any commutative Noetherian ring with unit, has a specific initial module with respect to an admissible order, provided M is generated by an s-sequence. Significant examples complement the results.
2014 ◽
Vol 57
(1)
◽
pp. 231-240
◽
2018 ◽
Vol 55
(3)
◽
pp. 345-352
1991 ◽
Vol 34
(1)
◽
pp. 155-160
◽
2015 ◽
Vol 15
(01)
◽
pp. 1650019
◽
2019 ◽
Vol 18
(12)
◽
pp. 1950236
2019 ◽
Vol 18
(01)
◽
pp. 1950015
◽