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Commutative Algebra
"... Apart from Hartshorne 1977, among the books listed below, I especially recommend Shafarevich 1994 — it is very easy to read, and is generally more elementary than these notes, but covers more ground (being much longer). ..."
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Apart from Hartshorne 1977, among the books listed below, I especially recommend Shafarevich 1994 — it is very easy to read, and is generally more elementary than these notes, but covers more ground (being much longer).
Combinatorial Commutative Algebra
, 2004
"... The last decade has seen a number of exciting developments at the intersection of commutative algebra with combinatorics. New methods have evolved out of an influx of ideas from such diverse areas as polyhedral geometry, theoretical physics, representation theory, homological algebra, symplectic geo ..."
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Cited by 125 (5 self)
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The last decade has seen a number of exciting developments at the intersection of commutative algebra with combinatorics. New methods have evolved out of an influx of ideas from such diverse areas as polyhedral geometry, theoretical physics, representation theory, homological algebra, symplectic
COEFFICIENT INTEGRAL DOMAINS IN COMMUTATIVE ALGEBRAS
, 1963
"... Coefficient integral domains in commutative algebras ..."
Homotopical Aspects of Commutative Algebras
, 2006
"... This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications. 1 ..."
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This article investigates the homotopy theory of simplicial commutative algebras with a view to homological applications. 1
Simple graded commutative algebras
"... Abstract. We study the notion of Γgraded commutative algebra for an arbitrary abelian group Γ. The main examples are the Clifford algebras already treated in [2]. We prove that the Clifford algebras are the only simple finitedimensional associative graded commutative algebras over R or C. Our appro ..."
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Cited by 12 (5 self)
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Abstract. We study the notion of Γgraded commutative algebra for an arbitrary abelian group Γ. The main examples are the Clifford algebras already treated in [2]. We prove that the Clifford algebras are the only simple finitedimensional associative graded commutative algebras over R or C. Our
Challenges in Computational Commutative Algebra
"... Abstract. In this paper we consider a number of challenges from the point of view of the CoCoA project one of whose tasks is to develop software specialized for computations in commutative algebra. Some of the challenges extend considerably beyond the boundary of commutative algebra, and are address ..."
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Cited by 2 (0 self)
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Abstract. In this paper we consider a number of challenges from the point of view of the CoCoA project one of whose tasks is to develop software specialized for computations in commutative algebra. Some of the challenges extend considerably beyond the boundary of commutative algebra
A primer of commutative algebra
, 2012
"... These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually ..."
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These notes prove the basic theorems in commutative algebra required for algebraic geometry and algebraic groups. They assume only a knowledge of the algebra usually
Results 1  10
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