COMMUTATIVE RINGS:NEW RESEARCH -- CONTENTS -- PREFACE -- J ÓNSSON MODULES OVER COMMUTATIVE RINGS -- Abstract -- 1 Introduction -- 2 General Results on Jónsson Modules -- 3 Projective and Injective Jónsson Modules -- 4 Which Rings Admit Faithful Jónsson Modules? -- 5 Applications -- 6 Conclusion -- References -- COUNTING ZERO-DIVISORS -- Abstract -- Appendix -- Acknowledgements -- References -- RECENT PROGRESS ON MINIMAL RINGEXTENSIONS AND RELATED CONCEPTS -- Abstract -- 1 Introduction -- 2 Classification Results -- 3 On FIP and Composites -- 4 A Miscellany -- 5 Conclusion -- References -- COMMUTATIVE ALGEBRA APPLIED TOSTABILIZATION PROBLEMS FOR SYSTEMS OVERRINGS -- Abstract -- 1 Introduction -- 2 Strong Stabilization Properties -- 3 Rings with Finite Stable Range -- 4 Conclusion -- References -- ASYMPTOTIC BEHAVIOR OF ASSOCIATED ORATTACHED PRIME IDEALS OF CERTAINEXT-MODULES AND TOR-MODULES -- 1 Introduction -- 2 Asymptotic Behavior of Sets Related to Hom-Functor andTensor Product -- 3 Asymptotic Behavior of Sets Related to Derived Functors -- 4 Asymptotic Behavior of Sets Related to Projective, Injectiveand Flat Modules -- References -- LINEAR ALGEBRA OVER COMMUTATIVE RINGSAPPLIED TO CONTROL THEORY -- 1. Introduction -- 1.1. Some Linear Algebra Tools -- A Natural Block Structure for Matrices -- Projective Modules -- A-invariant Modules -- 1.2. Some Control Theory Topics -- 2. Reachability -- 2.1. Partial Reachability Maps -- 2.2. Weak Reachability -- 2.3. Pointwise Reachability -- 3. Feedback Classification -- 3.2. A Fundamental Question -- 3.3. Feedback Equivalence -- 3.4. Brunovsky's Theorem -- 3.5. The Iterative Procedure (Free invariants) -- 3.6. The Iterative Procedure (Projective invariants) -- 3.7. Non-Reachable Systems over a field -- 3.8. Non-Reachable Systems (general case) -- 4. Pole Shifting.

4.1. Pole-Shifting over Commutative Rings -- 4.2. A Word on BCS Rings -- 5. Conclusion -- References -- A CHARACTERIZATION OFCOMMUTATIVE CLEAN RINGS -- Abstract -- 1. On 2-Clean Rings -- 2. All Rings Are Commutative and with Identity -- 3. Commutative Clean Group Rings -- 4. When G = Z2 -- References -- JORDAN AUTOMORPHISMS OF CERTAINJORDAN MATRIX ALGEBRAOVER COMMUTATIVE RINGS -- Abstract -- 1. Introduction -- 2. Preliminaries -- 3. The Standard Jordan Automorphisms of t -- 4. The Standard Jordan Automorphisms of S -- 5. Jordan Automorphisms of S -- References -- INDEX.